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Finding the Third Proportional to 85,439.25 and 186,962.06

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Solution

The third proportional to 85,439.25 and 186,962.06 is: 409,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,439.25 : 186,962.06 = 186,962.06 : x
  2. Step 2: Convert to fraction form
    85,439.25/186,962.06 = 186,962.06/x
  3. Step 3: Cross multiply
    85,439.25x = 186,962.06 × 186,962.06
  4. Step 4: Simplify right side
    85,439.25x = 34,954,812,814.25
  5. Step 5: Solve for x
    x = 34,954,812,814.25/85,439.25
  6. Step 6: Final answer
    x = 409,118.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.