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Finding the Third Proportional to 121,452,131,372.50 and 267,194,264,214

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Solution

The third proportional to 121,452,131,372.50 and 267,194,264,214 is: 587,826,446,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,452,131,372.50 : 267,194,264,214 = 267,194,264,214 : x
  2. Step 2: Convert to fraction form
    121,452,131,372.50/267,194,264,214 = 267,194,264,214/x
  3. Step 3: Cross multiply
    121,452,131,372.50x = 267,194,264,214 × 267,194,264,214
  4. Step 4: Simplify right side
    121,452,131,372.50x = 71,392,774,828,860,838,510,592
  5. Step 5: Solve for x
    x = 71,392,774,828,860,838,510,592/121,452,131,372.50
  6. Step 6: Final answer
    x = 587,826,446,700.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.