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Finding the Third Proportional to 47,133.56 and 101,648.25

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Solution

The third proportional to 47,133.56 and 101,648.25 is: 219,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,133.56 : 101,648.25 = 101,648.25 : x
  2. Step 2: Convert to fraction form
    47,133.56/101,648.25 = 101,648.25/x
  3. Step 3: Cross multiply
    47,133.56x = 101,648.25 × 101,648.25
  4. Step 4: Simplify right side
    47,133.56x = 10,332,366,728.06
  5. Step 5: Solve for x
    x = 10,332,366,728.06/47,133.56
  6. Step 6: Final answer
    x = 219,214.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.