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Finding the Third Proportional to 144,651,676.50 and 218,322,695.25

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Solution

The third proportional to 144,651,676.50 and 218,322,695.25 is: 329,514,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651,676.50 : 218,322,695.25 = 218,322,695.25 : x
  2. Step 2: Convert to fraction form
    144,651,676.50/218,322,695.25 = 218,322,695.25/x
  3. Step 3: Cross multiply
    144,651,676.50x = 218,322,695.25 × 218,322,695.25
  4. Step 4: Simplify right side
    144,651,676.50x = 47,664,799,261,224,376
  5. Step 5: Solve for x
    x = 47,664,799,261,224,376/144,651,676.50
  6. Step 6: Final answer
    x = 329,514,323.06

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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.