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Finding the Third Proportional to 65,735,676 and 102,191,787

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Solution

The third proportional to 65,735,676 and 102,191,787 is: 158,865,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735,676 : 102,191,787 = 102,191,787 : x
  2. Step 2: Convert to fraction form
    65,735,676/102,191,787 = 102,191,787/x
  3. Step 3: Cross multiply
    65,735,676x = 102,191,787 × 102,191,787
  4. Step 4: Simplify right side
    65,735,676x = 10,443,161,330,253,368
  5. Step 5: Solve for x
    x = 10,443,161,330,253,368/65,735,676
  6. Step 6: Final answer
    x = 158,865,960.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.