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Finding the Third Proportional to 76,760,358.75 and 109,768,218.19

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Solution

The third proportional to 76,760,358.75 and 109,768,218.19 is: 156,969,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,760,358.75 : 109,768,218.19 = 109,768,218.19 : x
  2. Step 2: Convert to fraction form
    76,760,358.75/109,768,218.19 = 109,768,218.19/x
  3. Step 3: Cross multiply
    76,760,358.75x = 109,768,218.19 × 109,768,218.19
  4. Step 4: Simplify right side
    76,760,358.75x = 12,049,061,724,058,606
  5. Step 5: Solve for x
    x = 12,049,061,724,058,606/76,760,358.75
  6. Step 6: Final answer
    x = 156,969,846.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.