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Finding the Third Proportional to 136,737,996 and 316,276,731

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Solution

The third proportional to 136,737,996 and 316,276,731 is: 731,552,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,737,996 : 316,276,731 = 316,276,731 : x
  2. Step 2: Convert to fraction form
    136,737,996/316,276,731 = 316,276,731/x
  3. Step 3: Cross multiply
    136,737,996x = 316,276,731 × 316,276,731
  4. Step 4: Simplify right side
    136,737,996x = 100,030,970,572,046,368
  5. Step 5: Solve for x
    x = 100,030,970,572,046,368/136,737,996
  6. Step 6: Final answer
    x = 731,552,117.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.