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Finding the Third Proportional to 67,057,435 and 102,510,820.50

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Solution

The third proportional to 67,057,435 and 102,510,820.50 is: 156,708,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057,435 : 102,510,820.50 = 102,510,820.50 : x
  2. Step 2: Convert to fraction form
    67,057,435/102,510,820.50 = 102,510,820.50/x
  3. Step 3: Cross multiply
    67,057,435x = 102,510,820.50 × 102,510,820.50
  4. Step 4: Simplify right side
    67,057,435x = 10,508,468,319,583,220
  5. Step 5: Solve for x
    x = 10,508,468,319,583,220/67,057,435
  6. Step 6: Final answer
    x = 156,708,474.15

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Why These Related Problems?

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