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Finding the Third Proportional to 87,375,147 and 145,607,784.50

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Solution

The third proportional to 87,375,147 and 145,607,784.50 is: 242,650,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,375,147 : 145,607,784.50 = 145,607,784.50 : x
  2. Step 2: Convert to fraction form
    87,375,147/145,607,784.50 = 145,607,784.50/x
  3. Step 3: Cross multiply
    87,375,147x = 145,607,784.50 × 145,607,784.50
  4. Step 4: Simplify right side
    87,375,147x = 21,201,626,906,998,440
  5. Step 5: Solve for x
    x = 21,201,626,906,998,440/87,375,147
  6. Step 6: Final answer
    x = 242,650,543.49

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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.