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Finding the Third Proportional to 84,195 and 180,064.50

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Solution

The third proportional to 84,195 and 180,064.50 is: 385,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,195 : 180,064.50 = 180,064.50 : x
  2. Step 2: Convert to fraction form
    84,195/180,064.50 = 180,064.50/x
  3. Step 3: Cross multiply
    84,195x = 180,064.50 × 180,064.50
  4. Step 4: Simplify right side
    84,195x = 32,423,224,160.25
  5. Step 5: Solve for x
    x = 32,423,224,160.25/84,195
  6. Step 6: Final answer
    x = 385,096.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.