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Finding the Third Proportional to 98,541.50 and 216,158.75

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Solution

The third proportional to 98,541.50 and 216,158.75 is: 474,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541.50 : 216,158.75 = 216,158.75 : x
  2. Step 2: Convert to fraction form
    98,541.50/216,158.75 = 216,158.75/x
  3. Step 3: Cross multiply
    98,541.50x = 216,158.75 × 216,158.75
  4. Step 4: Simplify right side
    98,541.50x = 46,724,605,201.56
  5. Step 5: Solve for x
    x = 46,724,605,201.56/98,541.50
  6. Step 6: Final answer
    x = 474,161.70

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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.