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Finding the Third Proportional to 161,012,736 and 353,656,800

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Solution

The third proportional to 161,012,736 and 353,656,800 is: 776,790,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,012,736 : 353,656,800 = 353,656,800 : x
  2. Step 2: Convert to fraction form
    161,012,736/353,656,800 = 353,656,800/x
  3. Step 3: Cross multiply
    161,012,736x = 353,656,800 × 353,656,800
  4. Step 4: Simplify right side
    161,012,736x = 125,073,132,186,240,000
  5. Step 5: Solve for x
    x = 125,073,132,186,240,000/161,012,736
  6. Step 6: Final answer
    x = 776,790,304.25

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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.