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Finding the Third Proportional to 98,385.38 and 217,444.50

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Solution

The third proportional to 98,385.38 and 217,444.50 is: 480,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,385.38 : 217,444.50 = 217,444.50 : x
  2. Step 2: Convert to fraction form
    98,385.38/217,444.50 = 217,444.50/x
  3. Step 3: Cross multiply
    98,385.38x = 217,444.50 × 217,444.50
  4. Step 4: Simplify right side
    98,385.38x = 47,282,110,580.25
  5. Step 5: Solve for x
    x = 47,282,110,580.25/98,385.38
  6. Step 6: Final answer
    x = 480,580.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.