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Finding the Third Proportional to 109,650 and 227,918.50

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Solution

The third proportional to 109,650 and 227,918.50 is: 473,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,650 : 227,918.50 = 227,918.50 : x
  2. Step 2: Convert to fraction form
    109,650/227,918.50 = 227,918.50/x
  3. Step 3: Cross multiply
    109,650x = 227,918.50 × 227,918.50
  4. Step 4: Simplify right side
    109,650x = 51,946,842,642.25
  5. Step 5: Solve for x
    x = 51,946,842,642.25/109,650
  6. Step 6: Final answer
    x = 473,751.41

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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.