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Finding the Third Proportional to 76,059,420 and 114,105,591

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Solution

The third proportional to 76,059,420 and 114,105,591 is: 171,183,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,059,420 : 114,105,591 = 114,105,591 : x
  2. Step 2: Convert to fraction form
    76,059,420/114,105,591 = 114,105,591/x
  3. Step 3: Cross multiply
    76,059,420x = 114,105,591 × 114,105,591
  4. Step 4: Simplify right side
    76,059,420x = 13,020,085,897,459,280
  5. Step 5: Solve for x
    x = 13,020,085,897,459,280/76,059,420
  6. Step 6: Final answer
    x = 171,183,081.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.