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Finding the Third Proportional to 80,505,336 and 176,826,165

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Solution

The third proportional to 80,505,336 and 176,826,165 is: 388,390,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,505,336 : 176,826,165 = 176,826,165 : x
  2. Step 2: Convert to fraction form
    80,505,336/176,826,165 = 176,826,165/x
  3. Step 3: Cross multiply
    80,505,336x = 176,826,165 × 176,826,165
  4. Step 4: Simplify right side
    80,505,336x = 31,267,492,628,607,224
  5. Step 5: Solve for x
    x = 31,267,492,628,607,224/80,505,336
  6. Step 6: Final answer
    x = 388,390,312.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.