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Finding the Third Proportional to 137,138,738 and 292,876,276

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Solution

The third proportional to 137,138,738 and 292,876,276 is: 625,472,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138,738 : 292,876,276 = 292,876,276 : x
  2. Step 2: Convert to fraction form
    137,138,738/292,876,276 = 292,876,276/x
  3. Step 3: Cross multiply
    137,138,738x = 292,876,276 × 292,876,276
  4. Step 4: Simplify right side
    137,138,738x = 85,776,513,043,628,176
  5. Step 5: Solve for x
    x = 85,776,513,043,628,176/137,138,738
  6. Step 6: Final answer
    x = 625,472,527.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.