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Finding the Third Proportional to 90,010.25 and 196,972.50

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Solution

The third proportional to 90,010.25 and 196,972.50 is: 431,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,010.25 : 196,972.50 = 196,972.50 : x
  2. Step 2: Convert to fraction form
    90,010.25/196,972.50 = 196,972.50/x
  3. Step 3: Cross multiply
    90,010.25x = 196,972.50 × 196,972.50
  4. Step 4: Simplify right side
    90,010.25x = 38,798,165,756.25
  5. Step 5: Solve for x
    x = 38,798,165,756.25/90,010.25
  6. Step 6: Final answer
    x = 431,041.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.