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Finding the Third Proportional to 71,578,298.25 and 109,447,420.50

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Solution

The third proportional to 71,578,298.25 and 109,447,420.50 is: 167,351,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578,298.25 : 109,447,420.50 = 109,447,420.50 : x
  2. Step 2: Convert to fraction form
    71,578,298.25/109,447,420.50 = 109,447,420.50/x
  3. Step 3: Cross multiply
    71,578,298.25x = 109,447,420.50 × 109,447,420.50
  4. Step 4: Simplify right side
    71,578,298.25x = 11,978,737,854,103,820
  5. Step 5: Solve for x
    x = 11,978,737,854,103,820/71,578,298.25
  6. Step 6: Final answer
    x = 167,351,531.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.