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Finding the Third Proportional to 239,995,026,843.75 and 346,751,369,502.75

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Solution

The third proportional to 239,995,026,843.75 and 346,751,369,502.75 is: 500,995,849,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,995,026,843.75 : 346,751,369,502.75 = 346,751,369,502.75 : x
  2. Step 2: Convert to fraction form
    239,995,026,843.75/346,751,369,502.75 = 346,751,369,502.75/x
  3. Step 3: Cross multiply
    239,995,026,843.75x = 346,751,369,502.75 × 346,751,369,502.75
  4. Step 4: Simplify right side
    239,995,026,843.75x = 120,236,512,252,032,670,760,960
  5. Step 5: Solve for x
    x = 120,236,512,252,032,670,760,960/239,995,026,843.75
  6. Step 6: Final answer
    x = 500,995,849,094.46

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