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Finding the Third Proportional to 97,432.88 and 209,369.81

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Solution

The third proportional to 97,432.88 and 209,369.81 is: 449,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,432.88 : 209,369.81 = 209,369.81 : x
  2. Step 2: Convert to fraction form
    97,432.88/209,369.81 = 209,369.81/x
  3. Step 3: Cross multiply
    97,432.88x = 209,369.81 × 209,369.81
  4. Step 4: Simplify right side
    97,432.88x = 43,835,718,386.29
  5. Step 5: Solve for x
    x = 43,835,718,386.29/97,432.88
  6. Step 6: Final answer
    x = 449,906.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.