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Finding the Third Proportional to 120,203,417 and 179,597,523

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Solution

The third proportional to 120,203,417 and 179,597,523 is: 268,339,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,203,417 : 179,597,523 = 179,597,523 : x
  2. Step 2: Convert to fraction form
    120,203,417/179,597,523 = 179,597,523/x
  3. Step 3: Cross multiply
    120,203,417x = 179,597,523 × 179,597,523
  4. Step 4: Simplify right side
    120,203,417x = 32,255,270,267,735,528
  5. Step 5: Solve for x
    x = 32,255,270,267,735,528/120,203,417
  6. Step 6: Final answer
    x = 268,339,046.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.