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Finding the Third Proportional to 90,086.50 and 208,526.50

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Solution

The third proportional to 90,086.50 and 208,526.50 is: 482,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,086.50 : 208,526.50 = 208,526.50 : x
  2. Step 2: Convert to fraction form
    90,086.50/208,526.50 = 208,526.50/x
  3. Step 3: Cross multiply
    90,086.50x = 208,526.50 × 208,526.50
  4. Step 4: Simplify right side
    90,086.50x = 43,483,301,202.25
  5. Step 5: Solve for x
    x = 43,483,301,202.25/90,086.50
  6. Step 6: Final answer
    x = 482,683.88

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.