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Finding the Third Proportional to 99,534 and 216,564

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Solution

The third proportional to 99,534 and 216,564 is: 471,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534 : 216,564 = 216,564 : x
  2. Step 2: Convert to fraction form
    99,534/216,564 = 216,564/x
  3. Step 3: Cross multiply
    99,534x = 216,564 × 216,564
  4. Step 4: Simplify right side
    99,534x = 46,899,966,096
  5. Step 5: Solve for x
    x = 46,899,966,096/99,534
  6. Step 6: Final answer
    x = 471,195.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.