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Finding the Third Proportional to 88,145.72 and 190,318.78

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Solution

The third proportional to 88,145.72 and 190,318.78 is: 410,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,145.72 : 190,318.78 = 190,318.78 : x
  2. Step 2: Convert to fraction form
    88,145.72/190,318.78 = 190,318.78/x
  3. Step 3: Cross multiply
    88,145.72x = 190,318.78 × 190,318.78
  4. Step 4: Simplify right side
    88,145.72x = 36,221,238,496.49
  5. Step 5: Solve for x
    x = 36,221,238,496.49/88,145.72
  6. Step 6: Final answer
    x = 410,924.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.