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Finding the Third Proportional to 96,850 and 209,785

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Solution

The third proportional to 96,850 and 209,785 is: 454,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,850 : 209,785 = 209,785 : x
  2. Step 2: Convert to fraction form
    96,850/209,785 = 209,785/x
  3. Step 3: Cross multiply
    96,850x = 209,785 × 209,785
  4. Step 4: Simplify right side
    96,850x = 44,009,746,225
  5. Step 5: Solve for x
    x = 44,009,746,225/96,850
  6. Step 6: Final answer
    x = 454,411.42

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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.