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Finding the Third Proportional to 72,300,078 and 110,144,241

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Solution

The third proportional to 72,300,078 and 110,144,241 is: 167,797,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,300,078 : 110,144,241 = 110,144,241 : x
  2. Step 2: Convert to fraction form
    72,300,078/110,144,241 = 110,144,241/x
  3. Step 3: Cross multiply
    72,300,078x = 110,144,241 × 110,144,241
  4. Step 4: Simplify right side
    72,300,078x = 12,131,753,825,466,080
  5. Step 5: Solve for x
    x = 12,131,753,825,466,080/72,300,078
  6. Step 6: Final answer
    x = 167,797,243.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.