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Finding the Third Proportional to 47,225.53 and 97,220.25

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Solution

The third proportional to 47,225.53 and 97,220.25 is: 200,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,225.53 : 97,220.25 = 97,220.25 : x
  2. Step 2: Convert to fraction form
    47,225.53/97,220.25 = 97,220.25/x
  3. Step 3: Cross multiply
    47,225.53x = 97,220.25 × 97,220.25
  4. Step 4: Simplify right side
    47,225.53x = 9,451,777,010.06
  5. Step 5: Solve for x
    x = 9,451,777,010.06/47,225.53
  6. Step 6: Final answer
    x = 200,141.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.