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Finding the Third Proportional to 44,478.50 and 97,705

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Solution

The third proportional to 44,478.50 and 97,705 is: 214,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,478.50 : 97,705 = 97,705 : x
  2. Step 2: Convert to fraction form
    44,478.50/97,705 = 97,705/x
  3. Step 3: Cross multiply
    44,478.50x = 97,705 × 97,705
  4. Step 4: Simplify right side
    44,478.50x = 9,546,267,025
  5. Step 5: Solve for x
    x = 9,546,267,025/44,478.50
  6. Step 6: Final answer
    x = 214,626.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.