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Finding the Third Proportional to 127,899.38 and 213,152.25

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Solution

The third proportional to 127,899.38 and 213,152.25 is: 355,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,899.38 : 213,152.25 = 213,152.25 : x
  2. Step 2: Convert to fraction form
    127,899.38/213,152.25 = 213,152.25/x
  3. Step 3: Cross multiply
    127,899.38x = 213,152.25 × 213,152.25
  4. Step 4: Simplify right side
    127,899.38x = 45,433,881,680.06
  5. Step 5: Solve for x
    x = 45,433,881,680.06/127,899.38
  6. Step 6: Final answer
    x = 355,231.46

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.