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Finding the Third Proportional to 71,755,157,154 and 153,745,207,612.50

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Solution

The third proportional to 71,755,157,154 and 153,745,207,612.50 is: 329,420,069,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,755,157,154 : 153,745,207,612.50 = 153,745,207,612.50 : x
  2. Step 2: Convert to fraction form
    71,755,157,154/153,745,207,612.50 = 153,745,207,612.50/x
  3. Step 3: Cross multiply
    71,755,157,154x = 153,745,207,612.50 × 153,745,207,612.50
  4. Step 4: Simplify right side
    71,755,157,154x = 23,637,588,863,810,728,361,984
  5. Step 5: Solve for x
    x = 23,637,588,863,810,728,361,984/71,755,157,154
  6. Step 6: Final answer
    x = 329,420,069,599.74

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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.