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Finding the Third Proportional to 49,653 and 107,643.94

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Solution

The third proportional to 49,653 and 107,643.94 is: 233,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,653 : 107,643.94 = 107,643.94 : x
  2. Step 2: Convert to fraction form
    49,653/107,643.94 = 107,643.94/x
  3. Step 3: Cross multiply
    49,653x = 107,643.94 × 107,643.94
  4. Step 4: Simplify right side
    49,653x = 11,587,217,280.50
  5. Step 5: Solve for x
    x = 11,587,217,280.50/49,653
  6. Step 6: Final answer
    x = 233,363.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.