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Finding the Third Proportional to 159,332,823 and 342,879,462

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Solution

The third proportional to 159,332,823 and 342,879,462 is: 737,866,330.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,332,823 : 342,879,462 = 342,879,462 : x
  2. Step 2: Convert to fraction form
    159,332,823/342,879,462 = 342,879,462/x
  3. Step 3: Cross multiply
    159,332,823x = 342,879,462 × 342,879,462
  4. Step 4: Simplify right side
    159,332,823x = 117,566,325,461,409,440
  5. Step 5: Solve for x
    x = 117,566,325,461,409,440/159,332,823
  6. Step 6: Final answer
    x = 737,866,330.66

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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.