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Finding the Third Proportional to 88,464 and 192,481

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Solution

The third proportional to 88,464 and 192,481 is: 418,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,464 : 192,481 = 192,481 : x
  2. Step 2: Convert to fraction form
    88,464/192,481 = 192,481/x
  3. Step 3: Cross multiply
    88,464x = 192,481 × 192,481
  4. Step 4: Simplify right side
    88,464x = 37,048,935,361
  5. Step 5: Solve for x
    x = 37,048,935,361/88,464
  6. Step 6: Final answer
    x = 418,802.40

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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.