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Finding the Third Proportional to 47,926.69 and 99,776.81

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Solution

The third proportional to 47,926.69 and 99,776.81 is: 207,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,926.69 : 99,776.81 = 99,776.81 : x
  2. Step 2: Convert to fraction form
    47,926.69/99,776.81 = 99,776.81/x
  3. Step 3: Cross multiply
    47,926.69x = 99,776.81 × 99,776.81
  4. Step 4: Simplify right side
    47,926.69x = 9,955,412,312.66
  5. Step 5: Solve for x
    x = 9,955,412,312.66/47,926.69
  6. Step 6: Final answer
    x = 207,721.69

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.