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Finding the Third Proportional to 164,500,110 and 255,535,548

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Solution

The third proportional to 164,500,110 and 255,535,548 is: 396,950,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500,110 : 255,535,548 = 255,535,548 : x
  2. Step 2: Convert to fraction form
    164,500,110/255,535,548 = 255,535,548/x
  3. Step 3: Cross multiply
    164,500,110x = 255,535,548 × 255,535,548
  4. Step 4: Simplify right side
    164,500,110x = 65,298,416,291,660,304
  5. Step 5: Solve for x
    x = 65,298,416,291,660,304/164,500,110
  6. Step 6: Final answer
    x = 396,950,593.48

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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.