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Finding the Third Proportional to 82,533.66 and 180,842.06

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Solution

The third proportional to 82,533.66 and 180,842.06 is: 396,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.66 : 180,842.06 = 180,842.06 : x
  2. Step 2: Convert to fraction form
    82,533.66/180,842.06 = 180,842.06/x
  3. Step 3: Cross multiply
    82,533.66x = 180,842.06 × 180,842.06
  4. Step 4: Simplify right side
    82,533.66x = 32,703,851,569.25
  5. Step 5: Solve for x
    x = 32,703,851,569.25/82,533.66
  6. Step 6: Final answer
    x = 396,248.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.