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Finding the Third Proportional to 137,910,114 and 296,743,446

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Solution

The third proportional to 137,910,114 and 296,743,446 is: 638,507,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,910,114 : 296,743,446 = 296,743,446 : x
  2. Step 2: Convert to fraction form
    137,910,114/296,743,446 = 296,743,446/x
  3. Step 3: Cross multiply
    137,910,114x = 296,743,446 × 296,743,446
  4. Step 4: Simplify right side
    137,910,114x = 88,056,672,743,954,912
  5. Step 5: Solve for x
    x = 88,056,672,743,954,912/137,910,114
  6. Step 6: Final answer
    x = 638,507,722.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.