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Finding the Third Proportional to 48,202 and 99,478

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Solution

The third proportional to 48,202 and 99,478 is: 205,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,202 : 99,478 = 99,478 : x
  2. Step 2: Convert to fraction form
    48,202/99,478 = 99,478/x
  3. Step 3: Cross multiply
    48,202x = 99,478 × 99,478
  4. Step 4: Simplify right side
    48,202x = 9,895,872,484
  5. Step 5: Solve for x
    x = 9,895,872,484/48,202
  6. Step 6: Final answer
    x = 205,300.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.