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Finding the Third Proportional to 138,737,646 and 304,940,532

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Solution

The third proportional to 138,737,646 and 304,940,532 is: 670,248,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,737,646 : 304,940,532 = 304,940,532 : x
  2. Step 2: Convert to fraction form
    138,737,646/304,940,532 = 304,940,532/x
  3. Step 3: Cross multiply
    138,737,646x = 304,940,532 × 304,940,532
  4. Step 4: Simplify right side
    138,737,646x = 92,988,728,056,443,024
  5. Step 5: Solve for x
    x = 92,988,728,056,443,024/138,737,646
  6. Step 6: Final answer
    x = 670,248,708.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.