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Finding the Third Proportional to 83,916,233 and 129,600,999

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Solution

The third proportional to 83,916,233 and 129,600,999 is: 200,156,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916,233 : 129,600,999 = 129,600,999 : x
  2. Step 2: Convert to fraction form
    83,916,233/129,600,999 = 129,600,999/x
  3. Step 3: Cross multiply
    83,916,233x = 129,600,999 × 129,600,999
  4. Step 4: Simplify right side
    83,916,233x = 16,796,418,941,798,000
  5. Step 5: Solve for x
    x = 16,796,418,941,798,000/83,916,233
  6. Step 6: Final answer
    x = 200,156,970.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.