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Finding the Third Proportional to 99,534 and 218,484

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Solution

The third proportional to 99,534 and 218,484 is: 479,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534 : 218,484 = 218,484 : x
  2. Step 2: Convert to fraction form
    99,534/218,484 = 218,484/x
  3. Step 3: Cross multiply
    99,534x = 218,484 × 218,484
  4. Step 4: Simplify right side
    99,534x = 47,735,258,256
  5. Step 5: Solve for x
    x = 47,735,258,256/99,534
  6. Step 6: Final answer
    x = 479,587.46

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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.