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Finding the Third Proportional to 177,632,604 and 266,448,906

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Solution

The third proportional to 177,632,604 and 266,448,906 is: 399,673,359

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,632,604 : 266,448,906 = 266,448,906 : x
  2. Step 2: Convert to fraction form
    177,632,604/266,448,906 = 266,448,906/x
  3. Step 3: Cross multiply
    177,632,604x = 266,448,906 × 266,448,906
  4. Step 4: Simplify right side
    177,632,604x = 70,995,019,508,596,832
  5. Step 5: Solve for x
    x = 70,995,019,508,596,832/177,632,604
  6. Step 6: Final answer
    x = 399,673,359

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.