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Finding the Third Proportional to 98,541.75 and 216,159.38

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Solution

The third proportional to 98,541.75 and 216,159.38 is: 474,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,541.75 : 216,159.38 = 216,159.38 : x
  2. Step 2: Convert to fraction form
    98,541.75/216,159.38 = 216,159.38/x
  3. Step 3: Cross multiply
    98,541.75x = 216,159.38 × 216,159.38
  4. Step 4: Simplify right side
    98,541.75x = 46,724,875,400.39
  5. Step 5: Solve for x
    x = 46,724,875,400.39/98,541.75
  6. Step 6: Final answer
    x = 474,163.24

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Why These Related Problems?

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