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Finding the Third Proportional to 98,112.38 and 211,909.50

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Solution

The third proportional to 98,112.38 and 211,909.50 is: 457,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,112.38 : 211,909.50 = 211,909.50 : x
  2. Step 2: Convert to fraction form
    98,112.38/211,909.50 = 211,909.50/x
  3. Step 3: Cross multiply
    98,112.38x = 211,909.50 × 211,909.50
  4. Step 4: Simplify right side
    98,112.38x = 44,905,636,190.25
  5. Step 5: Solve for x
    x = 44,905,636,190.25/98,112.38
  6. Step 6: Final answer
    x = 457,695.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.