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Finding the Third Proportional to 100,531.50 and 209,332

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Solution

The third proportional to 100,531.50 and 209,332 is: 435,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,531.50 : 209,332 = 209,332 : x
  2. Step 2: Convert to fraction form
    100,531.50/209,332 = 209,332/x
  3. Step 3: Cross multiply
    100,531.50x = 209,332 × 209,332
  4. Step 4: Simplify right side
    100,531.50x = 43,819,886,224
  5. Step 5: Solve for x
    x = 43,819,886,224/100,531.50
  6. Step 6: Final answer
    x = 435,882.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.