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Finding the Third Proportional to 85,417.88 and 186,924.38

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Solution

The third proportional to 85,417.88 and 186,924.38 is: 409,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417.88 : 186,924.38 = 186,924.38 : x
  2. Step 2: Convert to fraction form
    85,417.88/186,924.38 = 186,924.38/x
  3. Step 3: Cross multiply
    85,417.88x = 186,924.38 × 186,924.38
  4. Step 4: Simplify right side
    85,417.88x = 34,940,721,969.14
  5. Step 5: Solve for x
    x = 34,940,721,969.14/85,417.88
  6. Step 6: Final answer
    x = 409,056.32

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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.