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Finding the Third Proportional to 44,871.50 and 97,892.25

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Solution

The third proportional to 44,871.50 and 97,892.25 is: 213,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,871.50 : 97,892.25 = 97,892.25 : x
  2. Step 2: Convert to fraction form
    44,871.50/97,892.25 = 97,892.25/x
  3. Step 3: Cross multiply
    44,871.50x = 97,892.25 × 97,892.25
  4. Step 4: Simplify right side
    44,871.50x = 9,582,892,610.06
  5. Step 5: Solve for x
    x = 9,582,892,610.06/44,871.50
  6. Step 6: Final answer
    x = 213,563.01

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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.