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Finding the Third Proportional to 102,087,364 and 156,915,670

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Solution

The third proportional to 102,087,364 and 156,915,670 is: 241,190,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,364 : 156,915,670 = 156,915,670 : x
  2. Step 2: Convert to fraction form
    102,087,364/156,915,670 = 156,915,670/x
  3. Step 3: Cross multiply
    102,087,364x = 156,915,670 × 156,915,670
  4. Step 4: Simplify right side
    102,087,364x = 24,622,527,491,548,900
  5. Step 5: Solve for x
    x = 24,622,527,491,548,900/102,087,364
  6. Step 6: Final answer
    x = 241,190,746.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.