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Finding the Third Proportional to 164,500,107 and 255,535,545

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Solution

The third proportional to 164,500,107 and 255,535,545 is: 396,950,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500,107 : 255,535,545 = 255,535,545 : x
  2. Step 2: Convert to fraction form
    164,500,107/255,535,545 = 255,535,545/x
  3. Step 3: Cross multiply
    164,500,107x = 255,535,545 × 255,535,545
  4. Step 4: Simplify right side
    164,500,107x = 65,298,414,758,447,024
  5. Step 5: Solve for x
    x = 65,298,414,758,447,024/164,500,107
  6. Step 6: Final answer
    x = 396,950,591.40

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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.