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Finding the Third Proportional to 144,651,680 and 218,322,702

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Solution

The third proportional to 144,651,680 and 218,322,702 is: 329,514,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651,680 : 218,322,702 = 218,322,702 : x
  2. Step 2: Convert to fraction form
    144,651,680/218,322,702 = 218,322,702/x
  3. Step 3: Cross multiply
    144,651,680x = 218,322,702 × 218,322,702
  4. Step 4: Simplify right side
    144,651,680x = 47,664,802,208,580,800
  5. Step 5: Solve for x
    x = 47,664,802,208,580,800/144,651,680
  6. Step 6: Final answer
    x = 329,514,335.46

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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.