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Finding the Third Proportional to 97,799.06 and 206,281.13

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Solution

The third proportional to 97,799.06 and 206,281.13 is: 435,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,799.06 : 206,281.13 = 206,281.13 : x
  2. Step 2: Convert to fraction form
    97,799.06/206,281.13 = 206,281.13/x
  3. Step 3: Cross multiply
    97,799.06x = 206,281.13 × 206,281.13
  4. Step 4: Simplify right side
    97,799.06x = 42,551,902,531.27
  5. Step 5: Solve for x
    x = 42,551,902,531.27/97,799.06
  6. Step 6: Final answer
    x = 435,095.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.