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Finding the Third Proportional to 71,755,157,150 and 153,745,207,604

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Solution

The third proportional to 71,755,157,150 and 153,745,207,604 is: 329,420,069,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755,157,150 : 153,745,207,604 = 153,745,207,604 : x
  2. Step 2: Convert to fraction form
    71,755,157,150/153,745,207,604 = 153,745,207,604/x
  3. Step 3: Cross multiply
    71,755,157,150x = 153,745,207,604 × 153,745,207,604
  4. Step 4: Simplify right side
    71,755,157,150x = 23,637,588,861,197,060,407,296
  5. Step 5: Solve for x
    x = 23,637,588,861,197,060,407,296/71,755,157,150
  6. Step 6: Final answer
    x = 329,420,069,581.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.