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Finding the Third Proportional to 86,065.88 and 186,435

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Solution

The third proportional to 86,065.88 and 186,435 is: 403,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,065.88 : 186,435 = 186,435 : x
  2. Step 2: Convert to fraction form
    86,065.88/186,435 = 186,435/x
  3. Step 3: Cross multiply
    86,065.88x = 186,435 × 186,435
  4. Step 4: Simplify right side
    86,065.88x = 34,758,009,225
  5. Step 5: Solve for x
    x = 34,758,009,225/86,065.88
  6. Step 6: Final answer
    x = 403,853.55

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