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Finding the Third Proportional to 105,741,620 and 161,651,388

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Solution

The third proportional to 105,741,620 and 161,651,388 is: 247,122,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,741,620 : 161,651,388 = 161,651,388 : x
  2. Step 2: Convert to fraction form
    105,741,620/161,651,388 = 161,651,388/x
  3. Step 3: Cross multiply
    105,741,620x = 161,651,388 × 161,651,388
  4. Step 4: Simplify right side
    105,741,620x = 26,131,171,242,326,544
  5. Step 5: Solve for x
    x = 26,131,171,242,326,544/105,741,620
  6. Step 6: Final answer
    x = 247,122,857.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.