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Finding the Third Proportional to 49,776.19 and 108,300.38

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Solution

The third proportional to 49,776.19 and 108,300.38 is: 235,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,776.19 : 108,300.38 = 108,300.38 : x
  2. Step 2: Convert to fraction form
    49,776.19/108,300.38 = 108,300.38/x
  3. Step 3: Cross multiply
    49,776.19x = 108,300.38 × 108,300.38
  4. Step 4: Simplify right side
    49,776.19x = 11,728,971,225.14
  5. Step 5: Solve for x
    x = 11,728,971,225.14/49,776.19
  6. Step 6: Final answer
    x = 235,634.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.