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Finding the Third Proportional to 44,497 and 103,466.50

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Solution

The third proportional to 44,497 and 103,466.50 is: 240,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,497 : 103,466.50 = 103,466.50 : x
  2. Step 2: Convert to fraction form
    44,497/103,466.50 = 103,466.50/x
  3. Step 3: Cross multiply
    44,497x = 103,466.50 × 103,466.50
  4. Step 4: Simplify right side
    44,497x = 10,705,316,622.25
  5. Step 5: Solve for x
    x = 10,705,316,622.25/44,497
  6. Step 6: Final answer
    x = 240,585.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.