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Finding the Third Proportional to 106,795,120 and 165,439,664

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Solution

The third proportional to 106,795,120 and 165,439,664 is: 256,287,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,795,120 : 165,439,664 = 165,439,664 : x
  2. Step 2: Convert to fraction form
    106,795,120/165,439,664 = 165,439,664/x
  3. Step 3: Cross multiply
    106,795,120x = 165,439,664 × 165,439,664
  4. Step 4: Simplify right side
    106,795,120x = 27,370,282,424,432,896
  5. Step 5: Solve for x
    x = 27,370,282,424,432,896/106,795,120
  6. Step 6: Final answer
    x = 256,287,763.19

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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.