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Finding the Third Proportional to 96,386 and 208,862

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Solution

The third proportional to 96,386 and 208,862 is: 452,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,386 : 208,862 = 208,862 : x
  2. Step 2: Convert to fraction form
    96,386/208,862 = 208,862/x
  3. Step 3: Cross multiply
    96,386x = 208,862 × 208,862
  4. Step 4: Simplify right side
    96,386x = 43,623,335,044
  5. Step 5: Solve for x
    x = 43,623,335,044/96,386
  6. Step 6: Final answer
    x = 452,589.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.