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Finding the Third Proportional to 151,108.03 and 317,730.09

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Solution

The third proportional to 151,108.03 and 317,730.09 is: 668,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,108.03 : 317,730.09 = 317,730.09 : x
  2. Step 2: Convert to fraction form
    151,108.03/317,730.09 = 317,730.09/x
  3. Step 3: Cross multiply
    151,108.03x = 317,730.09 × 317,730.09
  4. Step 4: Simplify right side
    151,108.03x = 100,952,412,474.38
  5. Step 5: Solve for x
    x = 100,952,412,474.38/151,108.03
  6. Step 6: Final answer
    x = 668,081.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.