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Finding the Third Proportional to 84,066.61 and 181,870.31

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Solution

The third proportional to 84,066.61 and 181,870.31 is: 393,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,066.61 : 181,870.31 = 181,870.31 : x
  2. Step 2: Convert to fraction form
    84,066.61/181,870.31 = 181,870.31/x
  3. Step 3: Cross multiply
    84,066.61x = 181,870.31 × 181,870.31
  4. Step 4: Simplify right side
    84,066.61x = 33,076,810,568.85
  5. Step 5: Solve for x
    x = 33,076,810,568.85/84,066.61
  6. Step 6: Final answer
    x = 393,459.55

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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.