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Finding the Third Proportional to 76,153,677 and 116,016,073

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Solution

The third proportional to 76,153,677 and 116,016,073 is: 176,744,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,153,677 : 116,016,073 = 116,016,073 : x
  2. Step 2: Convert to fraction form
    76,153,677/116,016,073 = 116,016,073/x
  3. Step 3: Cross multiply
    76,153,677x = 116,016,073 × 116,016,073
  4. Step 4: Simplify right side
    76,153,677x = 13,459,729,194,341,328
  5. Step 5: Solve for x
    x = 13,459,729,194,341,328/76,153,677
  6. Step 6: Final answer
    x = 176,744,311.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.