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Finding the Third Proportional to 118,421,736 and 177,632,604

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Solution

The third proportional to 118,421,736 and 177,632,604 is: 266,448,906

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,421,736 : 177,632,604 = 177,632,604 : x
  2. Step 2: Convert to fraction form
    118,421,736/177,632,604 = 177,632,604/x
  3. Step 3: Cross multiply
    118,421,736x = 177,632,604 × 177,632,604
  4. Step 4: Simplify right side
    118,421,736x = 31,553,342,003,820,816
  5. Step 5: Solve for x
    x = 31,553,342,003,820,816/118,421,736
  6. Step 6: Final answer
    x = 266,448,906

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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.