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Finding the Third Proportional to 99,541 and 216,578

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Solution

The third proportional to 99,541 and 216,578 is: 471,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,541 : 216,578 = 216,578 : x
  2. Step 2: Convert to fraction form
    99,541/216,578 = 216,578/x
  3. Step 3: Cross multiply
    99,541x = 216,578 × 216,578
  4. Step 4: Simplify right side
    99,541x = 46,906,030,084
  5. Step 5: Solve for x
    x = 46,906,030,084/99,541
  6. Step 6: Final answer
    x = 471,223.22

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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.