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Finding the Third Proportional to 45,339 and 98,743.50

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Solution

The third proportional to 45,339 and 98,743.50 is: 215,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,339 : 98,743.50 = 98,743.50 : x
  2. Step 2: Convert to fraction form
    45,339/98,743.50 = 98,743.50/x
  3. Step 3: Cross multiply
    45,339x = 98,743.50 × 98,743.50
  4. Step 4: Simplify right side
    45,339x = 9,750,278,792.25
  5. Step 5: Solve for x
    x = 9,750,278,792.25/45,339
  6. Step 6: Final answer
    x = 215,052.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.