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Finding the Third Proportional to 40,466 and 88,304

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Solution

The third proportional to 40,466 and 88,304 is: 192,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,466 : 88,304 = 88,304 : x
  2. Step 2: Convert to fraction form
    40,466/88,304 = 88,304/x
  3. Step 3: Cross multiply
    40,466x = 88,304 × 88,304
  4. Step 4: Simplify right side
    40,466x = 7,797,596,416
  5. Step 5: Solve for x
    x = 7,797,596,416/40,466
  6. Step 6: Final answer
    x = 192,695.01

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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.