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Finding the Third Proportional to 84,002.06 and 181,363.43

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Solution

The third proportional to 84,002.06 and 181,363.43 is: 391,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002.06 : 181,363.43 = 181,363.43 : x
  2. Step 2: Convert to fraction form
    84,002.06/181,363.43 = 181,363.43/x
  3. Step 3: Cross multiply
    84,002.06x = 181,363.43 × 181,363.43
  4. Step 4: Simplify right side
    84,002.06x = 32,892,693,628.01
  5. Step 5: Solve for x
    x = 32,892,693,628.01/84,002.06
  6. Step 6: Final answer
    x = 391,570.07

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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.