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Finding the Third Proportional to 66,787,107 and 102,166,951.50

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Solution

The third proportional to 66,787,107 and 102,166,951.50 is: 156,288,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787,107 : 102,166,951.50 = 102,166,951.50 : x
  2. Step 2: Convert to fraction form
    66,787,107/102,166,951.50 = 102,166,951.50/x
  3. Step 3: Cross multiply
    66,787,107x = 102,166,951.50 × 102,166,951.50
  4. Step 4: Simplify right side
    66,787,107x = 10,438,085,978,803,352
  5. Step 5: Solve for x
    x = 10,438,085,978,803,352/66,787,107
  6. Step 6: Final answer
    x = 156,288,937.31

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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.