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Finding the Third Proportional to 87,291,569 and 145,480,080

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Solution

The third proportional to 87,291,569 and 145,480,080 is: 242,457,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,291,569 : 145,480,080 = 145,480,080 : x
  2. Step 2: Convert to fraction form
    87,291,569/145,480,080 = 145,480,080/x
  3. Step 3: Cross multiply
    87,291,569x = 145,480,080 × 145,480,080
  4. Step 4: Simplify right side
    87,291,569x = 21,164,453,676,806,400
  5. Step 5: Solve for x
    x = 21,164,453,676,806,400/87,291,569
  6. Step 6: Final answer
    x = 242,457,019.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.