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Finding the Third Proportional to 50,641.88 and 107,526.38

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Solution

The third proportional to 50,641.88 and 107,526.38 is: 228,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.88 : 107,526.38 = 107,526.38 : x
  2. Step 2: Convert to fraction form
    50,641.88/107,526.38 = 107,526.38/x
  3. Step 3: Cross multiply
    50,641.88x = 107,526.38 × 107,526.38
  4. Step 4: Simplify right side
    50,641.88x = 11,561,921,320.64
  5. Step 5: Solve for x
    x = 11,561,921,320.64/50,641.88
  6. Step 6: Final answer
    x = 228,307.53

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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.