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Finding the Third Proportional to 100,472.50 and 214,763.50

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Solution

The third proportional to 100,472.50 and 214,763.50 is: 459,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,472.50 : 214,763.50 = 214,763.50 : x
  2. Step 2: Convert to fraction form
    100,472.50/214,763.50 = 214,763.50/x
  3. Step 3: Cross multiply
    100,472.50x = 214,763.50 × 214,763.50
  4. Step 4: Simplify right side
    100,472.50x = 46,123,360,932.25
  5. Step 5: Solve for x
    x = 46,123,360,932.25/100,472.50
  6. Step 6: Final answer
    x = 459,064.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.