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Finding the Third Proportional to 104,125.50 and 215,632.13

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Solution

The third proportional to 104,125.50 and 215,632.13 is: 446,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,125.50 : 215,632.13 = 215,632.13 : x
  2. Step 2: Convert to fraction form
    104,125.50/215,632.13 = 215,632.13/x
  3. Step 3: Cross multiply
    104,125.50x = 215,632.13 × 215,632.13
  4. Step 4: Simplify right side
    104,125.50x = 46,497,213,332.02
  5. Step 5: Solve for x
    x = 46,497,213,332.02/104,125.50
  6. Step 6: Final answer
    x = 446,549.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.