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Finding the Third Proportional to 96,442 and 211,566

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Solution

The third proportional to 96,442 and 211,566 is: 464,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,442 : 211,566 = 211,566 : x
  2. Step 2: Convert to fraction form
    96,442/211,566 = 211,566/x
  3. Step 3: Cross multiply
    96,442x = 211,566 × 211,566
  4. Step 4: Simplify right side
    96,442x = 44,760,172,356
  5. Step 5: Solve for x
    x = 44,760,172,356/96,442
  6. Step 6: Final answer
    x = 464,114.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.