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Finding the Third Proportional to 99,534 and 216,563

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Solution

The third proportional to 99,534 and 216,563 is: 471,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,534 : 216,563 = 216,563 : x
  2. Step 2: Convert to fraction form
    99,534/216,563 = 216,563/x
  3. Step 3: Cross multiply
    99,534x = 216,563 × 216,563
  4. Step 4: Simplify right side
    99,534x = 46,899,532,969
  5. Step 5: Solve for x
    x = 46,899,532,969/99,534
  6. Step 6: Final answer
    x = 471,191.08

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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.