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Finding the Third Proportional to 84,308.81 and 183,486

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Solution

The third proportional to 84,308.81 and 183,486 is: 399,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,308.81 : 183,486 = 183,486 : x
  2. Step 2: Convert to fraction form
    84,308.81/183,486 = 183,486/x
  3. Step 3: Cross multiply
    84,308.81x = 183,486 × 183,486
  4. Step 4: Simplify right side
    84,308.81x = 33,667,112,196
  5. Step 5: Solve for x
    x = 33,667,112,196/84,308.81
  6. Step 6: Final answer
    x = 399,330.88

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