Home / 120,902,647.78-262,332,204.19

Finding the Third Proportional to 120,902,647.78 and 262,332,204.19

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Solution

The third proportional to 120,902,647.78 and 262,332,204.19 is: 569,203,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,902,647.78 : 262,332,204.19 = 262,332,204.19 : x
  2. Step 2: Convert to fraction form
    120,902,647.78/262,332,204.19 = 262,332,204.19/x
  3. Step 3: Cross multiply
    120,902,647.78x = 262,332,204.19 × 262,332,204.19
  4. Step 4: Simplify right side
    120,902,647.78x = 68,818,185,353,872,192
  5. Step 5: Solve for x
    x = 68,818,185,353,872,192/120,902,647.78
  6. Step 6: Final answer
    x = 569,203,293.86

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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.