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Finding the Third Proportional to 177,632,610 and 266,448,915

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Solution

The third proportional to 177,632,610 and 266,448,915 is: 399,673,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,632,610 : 266,448,915 = 266,448,915 : x
  2. Step 2: Convert to fraction form
    177,632,610/266,448,915 = 266,448,915/x
  3. Step 3: Cross multiply
    177,632,610x = 266,448,915 × 266,448,915
  4. Step 4: Simplify right side
    177,632,610x = 70,995,024,304,677,224
  5. Step 5: Solve for x
    x = 70,995,024,304,677,224/177,632,610
  6. Step 6: Final answer
    x = 399,673,372.50

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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.