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Finding the Third Proportional to 96,421.13 and 209,426.63

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Solution

The third proportional to 96,421.13 and 209,426.63 is: 454,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,421.13 : 209,426.63 = 209,426.63 : x
  2. Step 2: Convert to fraction form
    96,421.13/209,426.63 = 209,426.63/x
  3. Step 3: Cross multiply
    96,421.13x = 209,426.63 × 209,426.63
  4. Step 4: Simplify right side
    96,421.13x = 43,859,511,258.89
  5. Step 5: Solve for x
    x = 43,859,511,258.89/96,421.13
  6. Step 6: Final answer
    x = 454,874.50

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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.