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Finding the Third Proportional to 159,332,764 and 342,879,340

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Solution

The third proportional to 159,332,764 and 342,879,340 is: 737,866,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,332,764 : 342,879,340 = 342,879,340 : x
  2. Step 2: Convert to fraction form
    159,332,764/342,879,340 = 342,879,340/x
  3. Step 3: Cross multiply
    159,332,764x = 342,879,340 × 342,879,340
  4. Step 4: Simplify right side
    159,332,764x = 117,566,241,798,835,600
  5. Step 5: Solve for x
    x = 117,566,241,798,835,600/159,332,764
  6. Step 6: Final answer
    x = 737,866,078.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.