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Finding the Third Proportional to 106,889,612 and 165,243,027.75

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Solution

The third proportional to 106,889,612 and 165,243,027.75 is: 255,452,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,889,612 : 165,243,027.75 = 165,243,027.75 : x
  2. Step 2: Convert to fraction form
    106,889,612/165,243,027.75 = 165,243,027.75/x
  3. Step 3: Cross multiply
    106,889,612x = 165,243,027.75 × 165,243,027.75
  4. Step 4: Simplify right side
    106,889,612x = 27,305,258,219,987,272
  5. Step 5: Solve for x
    x = 27,305,258,219,987,272/106,889,612
  6. Step 6: Final answer
    x = 255,452,870.57

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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.