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Finding the Third Proportional to 102,516.75 and 221,881.50

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Solution

The third proportional to 102,516.75 and 221,881.50 is: 480,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,516.75 : 221,881.50 = 221,881.50 : x
  2. Step 2: Convert to fraction form
    102,516.75/221,881.50 = 221,881.50/x
  3. Step 3: Cross multiply
    102,516.75x = 221,881.50 × 221,881.50
  4. Step 4: Simplify right side
    102,516.75x = 49,231,400,042.25
  5. Step 5: Solve for x
    x = 49,231,400,042.25/102,516.75
  6. Step 6: Final answer
    x = 480,227.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.