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Finding the Third Proportional to 106,847,473.50 and 159,642,229.50

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Solution

The third proportional to 106,847,473.50 and 159,642,229.50 is: 238,523,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,847,473.50 : 159,642,229.50 = 159,642,229.50 : x
  2. Step 2: Convert to fraction form
    106,847,473.50/159,642,229.50 = 159,642,229.50/x
  3. Step 3: Cross multiply
    106,847,473.50x = 159,642,229.50 × 159,642,229.50
  4. Step 4: Simplify right side
    106,847,473.50x = 25,485,641,439,730,672
  5. Step 5: Solve for x
    x = 25,485,641,439,730,672/106,847,473.50
  6. Step 6: Final answer
    x = 238,523,575.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.