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Finding the Third Proportional to 84,835.75 and 186,482.75

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Solution

The third proportional to 84,835.75 and 186,482.75 is: 409,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,835.75 : 186,482.75 = 186,482.75 : x
  2. Step 2: Convert to fraction form
    84,835.75/186,482.75 = 186,482.75/x
  3. Step 3: Cross multiply
    84,835.75x = 186,482.75 × 186,482.75
  4. Step 4: Simplify right side
    84,835.75x = 34,775,816,047.56
  5. Step 5: Solve for x
    x = 34,775,816,047.56/84,835.75
  6. Step 6: Final answer
    x = 409,919.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.