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Finding the Third Proportional to 44,966 and 98,497.50

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Solution

The third proportional to 44,966 and 98,497.50 is: 215,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,966 : 98,497.50 = 98,497.50 : x
  2. Step 2: Convert to fraction form
    44,966/98,497.50 = 98,497.50/x
  3. Step 3: Cross multiply
    44,966x = 98,497.50 × 98,497.50
  4. Step 4: Simplify right side
    44,966x = 9,701,757,506.25
  5. Step 5: Solve for x
    x = 9,701,757,506.25/44,966
  6. Step 6: Final answer
    x = 215,757.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.