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Finding the Third Proportional to 49,950.95 and 107,026.73

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Solution

The third proportional to 49,950.95 and 107,026.73 is: 229,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,950.95 : 107,026.73 = 107,026.73 : x
  2. Step 2: Convert to fraction form
    49,950.95/107,026.73 = 107,026.73/x
  3. Step 3: Cross multiply
    49,950.95x = 107,026.73 × 107,026.73
  4. Step 4: Simplify right side
    49,950.95x = 11,454,721,870.98
  5. Step 5: Solve for x
    x = 11,454,721,870.98/49,950.95
  6. Step 6: Final answer
    x = 229,319.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.