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Finding the Third Proportional to 138,050,115.75 and 306,745,407

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Solution

The third proportional to 138,050,115.75 and 306,745,407 is: 681,583,961.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050,115.75 : 306,745,407 = 306,745,407 : x
  2. Step 2: Convert to fraction form
    138,050,115.75/306,745,407 = 306,745,407/x
  3. Step 3: Cross multiply
    138,050,115.75x = 306,745,407 × 306,745,407
  4. Step 4: Simplify right side
    138,050,115.75x = 94,092,744,715,595,648
  5. Step 5: Solve for x
    x = 94,092,744,715,595,648/138,050,115.75
  6. Step 6: Final answer
    x = 681,583,961.04

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.