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Finding the Third Proportional to 97,079 and 207,654.50

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Solution

The third proportional to 97,079 and 207,654.50 is: 444,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,079 : 207,654.50 = 207,654.50 : x
  2. Step 2: Convert to fraction form
    97,079/207,654.50 = 207,654.50/x
  3. Step 3: Cross multiply
    97,079x = 207,654.50 × 207,654.50
  4. Step 4: Simplify right side
    97,079x = 43,120,391,370.25
  5. Step 5: Solve for x
    x = 43,120,391,370.25/97,079
  6. Step 6: Final answer
    x = 444,178.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.