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Finding the Third Proportional to 86,192.86 and 182,752.45

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Solution

The third proportional to 86,192.86 and 182,752.45 is: 387,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,192.86 : 182,752.45 = 182,752.45 : x
  2. Step 2: Convert to fraction form
    86,192.86/182,752.45 = 182,752.45/x
  3. Step 3: Cross multiply
    86,192.86x = 182,752.45 × 182,752.45
  4. Step 4: Simplify right side
    86,192.86x = 33,398,459,123.21
  5. Step 5: Solve for x
    x = 33,398,459,123.21/86,192.86
  6. Step 6: Final answer
    x = 387,485.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.