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Finding the Third Proportional to 239,995,026,843.76 and 346,751,369,502.76

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Solution

The third proportional to 239,995,026,843.76 and 346,751,369,502.76 is: 500,995,849,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,995,026,843.76 : 346,751,369,502.76 = 346,751,369,502.76 : x
  2. Step 2: Convert to fraction form
    239,995,026,843.76/346,751,369,502.76 = 346,751,369,502.76/x
  3. Step 3: Cross multiply
    239,995,026,843.76x = 346,751,369,502.76 × 346,751,369,502.76
  4. Step 4: Simplify right side
    239,995,026,843.76x = 120,236,512,252,039,599,751,168
  5. Step 5: Solve for x
    x = 120,236,512,252,039,599,751,168/239,995,026,843.76
  6. Step 6: Final answer
    x = 500,995,849,094.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.