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Finding the Third Proportional to 107,792,864 and 165,687,132

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Solution

The third proportional to 107,792,864 and 165,687,132 is: 254,675,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,792,864 : 165,687,132 = 165,687,132 : x
  2. Step 2: Convert to fraction form
    107,792,864/165,687,132 = 165,687,132/x
  3. Step 3: Cross multiply
    107,792,864x = 165,687,132 × 165,687,132
  4. Step 4: Simplify right side
    107,792,864x = 27,452,225,710,385,424
  5. Step 5: Solve for x
    x = 27,452,225,710,385,424/107,792,864
  6. Step 6: Final answer
    x = 254,675,724.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.