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Finding the Third Proportional to 86,742 and 200,795.63

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Solution

The third proportional to 86,742 and 200,795.63 is: 464,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,742 : 200,795.63 = 200,795.63 : x
  2. Step 2: Convert to fraction form
    86,742/200,795.63 = 200,795.63/x
  3. Step 3: Cross multiply
    86,742x = 200,795.63 × 200,795.63
  4. Step 4: Simplify right side
    86,742x = 40,318,883,019.14
  5. Step 5: Solve for x
    x = 40,318,883,019.14/86,742
  6. Step 6: Final answer
    x = 464,813.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.