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Finding the Third Proportional to 132,222.38 and 209,587.50

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Solution

The third proportional to 132,222.38 and 209,587.50 is: 332,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,222.38 : 209,587.50 = 209,587.50 : x
  2. Step 2: Convert to fraction form
    132,222.38/209,587.50 = 209,587.50/x
  3. Step 3: Cross multiply
    132,222.38x = 209,587.50 × 209,587.50
  4. Step 4: Simplify right side
    132,222.38x = 43,926,920,156.25
  5. Step 5: Solve for x
    x = 43,926,920,156.25/132,222.38
  6. Step 6: Final answer
    x = 332,220.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.