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Finding the Third Proportional to 90,031.50 and 217,606.50

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Solution

The third proportional to 90,031.50 and 217,606.50 is: 525,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031.50 : 217,606.50 = 217,606.50 : x
  2. Step 2: Convert to fraction form
    90,031.50/217,606.50 = 217,606.50/x
  3. Step 3: Cross multiply
    90,031.50x = 217,606.50 × 217,606.50
  4. Step 4: Simplify right side
    90,031.50x = 47,352,588,842.25
  5. Step 5: Solve for x
    x = 47,352,588,842.25/90,031.50
  6. Step 6: Final answer
    x = 525,955.79

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.