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Finding the Third Proportional to 120,902,523.75 and 262,331,956.13

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Solution

The third proportional to 120,902,523.75 and 262,331,956.13 is: 569,202,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,902,523.75 : 262,331,956.13 = 262,331,956.13 : x
  2. Step 2: Convert to fraction form
    120,902,523.75/262,331,956.13 = 262,331,956.13/x
  3. Step 3: Cross multiply
    120,902,523.75x = 262,331,956.13 × 262,331,956.13
  4. Step 4: Simplify right side
    120,902,523.75x = 68,818,055,204,368,928
  5. Step 5: Solve for x
    x = 68,818,055,204,368,928/120,902,523.75
  6. Step 6: Final answer
    x = 569,202,801.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.