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Finding the Third Proportional to 163,542,870 and 360,269,820

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Solution

The third proportional to 163,542,870 and 360,269,820 is: 793,641,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,542,870 : 360,269,820 = 360,269,820 : x
  2. Step 2: Convert to fraction form
    163,542,870/360,269,820 = 360,269,820/x
  3. Step 3: Cross multiply
    163,542,870x = 360,269,820 × 360,269,820
  4. Step 4: Simplify right side
    163,542,870x = 129,794,343,202,832,400
  5. Step 5: Solve for x
    x = 129,794,343,202,832,400/163,542,870
  6. Step 6: Final answer
    x = 793,641,099.75

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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.