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Finding the Third Proportional to 107,757,972 and 191,581,416

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Solution

The third proportional to 107,757,972 and 191,581,416 is: 340,609,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,757,972 : 191,581,416 = 191,581,416 : x
  2. Step 2: Convert to fraction form
    107,757,972/191,581,416 = 191,581,416/x
  3. Step 3: Cross multiply
    107,757,972x = 191,581,416 × 191,581,416
  4. Step 4: Simplify right side
    107,757,972x = 36,703,438,956,565,056
  5. Step 5: Solve for x
    x = 36,703,438,956,565,056/107,757,972
  6. Step 6: Final answer
    x = 340,609,963.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.