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Finding the Third Proportional to 47,526.75 and 100,888.88

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Solution

The third proportional to 47,526.75 and 100,888.88 is: 214,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,526.75 : 100,888.88 = 100,888.88 : x
  2. Step 2: Convert to fraction form
    47,526.75/100,888.88 = 100,888.88/x
  3. Step 3: Cross multiply
    47,526.75x = 100,888.88 × 100,888.88
  4. Step 4: Simplify right side
    47,526.75x = 10,178,565,098.77
  5. Step 5: Solve for x
    x = 10,178,565,098.77/47,526.75
  6. Step 6: Final answer
    x = 214,164.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.