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Finding the Third Proportional to 49,870.69 and 108,036.28

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Solution

The third proportional to 49,870.69 and 108,036.28 is: 234,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,870.69 : 108,036.28 = 108,036.28 : x
  2. Step 2: Convert to fraction form
    49,870.69/108,036.28 = 108,036.28/x
  3. Step 3: Cross multiply
    49,870.69x = 108,036.28 × 108,036.28
  4. Step 4: Simplify right side
    49,870.69x = 11,671,838,066.33
  5. Step 5: Solve for x
    x = 11,671,838,066.33/49,870.69
  6. Step 6: Final answer
    x = 234,042.05

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