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Finding the Third Proportional to 96,788.67 and 227,718.84

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Solution

The third proportional to 96,788.67 and 227,718.84 is: 535,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,788.67 : 227,718.84 = 227,718.84 : x
  2. Step 2: Convert to fraction form
    96,788.67/227,718.84 = 227,718.84/x
  3. Step 3: Cross multiply
    96,788.67x = 227,718.84 × 227,718.84
  4. Step 4: Simplify right side
    96,788.67x = 51,855,871,798.84
  5. Step 5: Solve for x
    x = 51,855,871,798.84/96,788.67
  6. Step 6: Final answer
    x = 535,763.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.