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Finding the Third Proportional to 111,121,182 and 239,309,678.25

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Solution

The third proportional to 111,121,182 and 239,309,678.25 is: 515,375,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,121,182 : 239,309,678.25 = 239,309,678.25 : x
  2. Step 2: Convert to fraction form
    111,121,182/239,309,678.25 = 239,309,678.25/x
  3. Step 3: Cross multiply
    111,121,182x = 239,309,678.25 × 239,309,678.25
  4. Step 4: Simplify right side
    111,121,182x = 57,269,122,104,118,520
  5. Step 5: Solve for x
    x = 57,269,122,104,118,520/111,121,182
  6. Step 6: Final answer
    x = 515,375,386.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.