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Finding the Third Proportional to 85,447.13 and 186,985.13

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Solution

The third proportional to 85,447.13 and 186,985.13 is: 409,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,447.13 : 186,985.13 = 186,985.13 : x
  2. Step 2: Convert to fraction form
    85,447.13/186,985.13 = 186,985.13/x
  3. Step 3: Cross multiply
    85,447.13x = 186,985.13 × 186,985.13
  4. Step 4: Simplify right side
    85,447.13x = 34,963,436,971.27
  5. Step 5: Solve for x
    x = 34,963,436,971.27/85,447.13
  6. Step 6: Final answer
    x = 409,182.13

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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.