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Finding the Third Proportional to 95,870.25 and 209,044.13

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Solution

The third proportional to 95,870.25 and 209,044.13 is: 455,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,870.25 : 209,044.13 = 209,044.13 : x
  2. Step 2: Convert to fraction form
    95,870.25/209,044.13 = 209,044.13/x
  3. Step 3: Cross multiply
    95,870.25x = 209,044.13 × 209,044.13
  4. Step 4: Simplify right side
    95,870.25x = 43,699,446,197.02
  5. Step 5: Solve for x
    x = 43,699,446,197.02/95,870.25
  6. Step 6: Final answer
    x = 455,818.63

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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.