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Finding the Third Proportional to 86,054.81 and 186,406.13

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Solution

The third proportional to 86,054.81 and 186,406.13 is: 403,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,054.81 : 186,406.13 = 186,406.13 : x
  2. Step 2: Convert to fraction form
    86,054.81/186,406.13 = 186,406.13/x
  3. Step 3: Cross multiply
    86,054.81x = 186,406.13 × 186,406.13
  4. Step 4: Simplify right side
    86,054.81x = 34,747,243,437.52
  5. Step 5: Solve for x
    x = 34,747,243,437.52/86,054.81
  6. Step 6: Final answer
    x = 403,780.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.