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Finding the Third Proportional to 144,651,684 and 218,322,706

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Solution

The third proportional to 144,651,684 and 218,322,706 is: 329,514,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651,684 : 218,322,706 = 218,322,706 : x
  2. Step 2: Convert to fraction form
    144,651,684/218,322,706 = 218,322,706/x
  3. Step 3: Cross multiply
    144,651,684x = 218,322,706 × 218,322,706
  4. Step 4: Simplify right side
    144,651,684x = 47,664,803,955,162,432
  5. Step 5: Solve for x
    x = 47,664,803,955,162,432/144,651,684
  6. Step 6: Final answer
    x = 329,514,338.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.