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Finding the Third Proportional to 45,314 and 99,382

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Solution

The third proportional to 45,314 and 99,382 is: 217,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314 : 99,382 = 99,382 : x
  2. Step 2: Convert to fraction form
    45,314/99,382 = 99,382/x
  3. Step 3: Cross multiply
    45,314x = 99,382 × 99,382
  4. Step 4: Simplify right side
    45,314x = 9,876,781,924
  5. Step 5: Solve for x
    x = 9,876,781,924/45,314
  6. Step 6: Final answer
    x = 217,963.14

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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.