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Finding the Third Proportional to 38,384.06 and 83,055.56

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Solution

The third proportional to 38,384.06 and 83,055.56 is: 179,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384.06 : 83,055.56 = 83,055.56 : x
  2. Step 2: Convert to fraction form
    38,384.06/83,055.56 = 83,055.56/x
  3. Step 3: Cross multiply
    38,384.06x = 83,055.56 × 83,055.56
  4. Step 4: Simplify right side
    38,384.06x = 6,898,226,462.19
  5. Step 5: Solve for x
    x = 6,898,226,462.19/38,384.06
  6. Step 6: Final answer
    x = 179,715.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.