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Finding the Third Proportional to 99,727 and 213,466

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Solution

The third proportional to 99,727 and 213,466 is: 456,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,727 : 213,466 = 213,466 : x
  2. Step 2: Convert to fraction form
    99,727/213,466 = 213,466/x
  3. Step 3: Cross multiply
    99,727x = 213,466 × 213,466
  4. Step 4: Simplify right side
    99,727x = 45,567,733,156
  5. Step 5: Solve for x
    x = 45,567,733,156/99,727
  6. Step 6: Final answer
    x = 456,924.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.