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Finding the Third Proportional to 71,810,975.25 and 113,728,387.50

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Solution

The third proportional to 71,810,975.25 and 113,728,387.50 is: 180,113,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810,975.25 : 113,728,387.50 = 113,728,387.50 : x
  2. Step 2: Convert to fraction form
    71,810,975.25/113,728,387.50 = 113,728,387.50/x
  3. Step 3: Cross multiply
    71,810,975.25x = 113,728,387.50 × 113,728,387.50
  4. Step 4: Simplify right side
    71,810,975.25x = 12,934,146,123,350,156
  5. Step 5: Solve for x
    x = 12,934,146,123,350,156/71,810,975.25
  6. Step 6: Final answer
    x = 180,113,778.96

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.