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Finding the Third Proportional to 84,305.81 and 180,602.16

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Solution

The third proportional to 84,305.81 and 180,602.16 is: 386,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,305.81 : 180,602.16 = 180,602.16 : x
  2. Step 2: Convert to fraction form
    84,305.81/180,602.16 = 180,602.16/x
  3. Step 3: Cross multiply
    84,305.81x = 180,602.16 × 180,602.16
  4. Step 4: Simplify right side
    84,305.81x = 32,617,138,842.15
  5. Step 5: Solve for x
    x = 32,617,138,842.15/84,305.81
  6. Step 6: Final answer
    x = 386,890.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.