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Finding the Third Proportional to 44,650 and 97,796

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Solution

The third proportional to 44,650 and 97,796 is: 214,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,650 : 97,796 = 97,796 : x
  2. Step 2: Convert to fraction form
    44,650/97,796 = 97,796/x
  3. Step 3: Cross multiply
    44,650x = 97,796 × 97,796
  4. Step 4: Simplify right side
    44,650x = 9,564,057,616
  5. Step 5: Solve for x
    x = 9,564,057,616/44,650
  6. Step 6: Final answer
    x = 214,200.62

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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.