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Finding the Third Proportional to 106,795,122 and 165,439,667

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Solution

The third proportional to 106,795,122 and 165,439,667 is: 256,287,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,795,122 : 165,439,667 = 165,439,667 : x
  2. Step 2: Convert to fraction form
    106,795,122/165,439,667 = 165,439,667/x
  3. Step 3: Cross multiply
    106,795,122x = 165,439,667 × 165,439,667
  4. Step 4: Simplify right side
    106,795,122x = 27,370,283,417,070,888
  5. Step 5: Solve for x
    x = 27,370,283,417,070,888/106,795,122
  6. Step 6: Final answer
    x = 256,287,767.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.