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Finding the Third Proportional to 233,132,676.75 and 510,067,714.50

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Solution

The third proportional to 233,132,676.75 and 510,067,714.50 is: 1,115,970,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132,676.75 : 510,067,714.50 = 510,067,714.50 : x
  2. Step 2: Convert to fraction form
    233,132,676.75/510,067,714.50 = 510,067,714.50/x
  3. Step 3: Cross multiply
    233,132,676.75x = 510,067,714.50 × 510,067,714.50
  4. Step 4: Simplify right side
    233,132,676.75x = 260,169,073,375,253,504
  5. Step 5: Solve for x
    x = 260,169,073,375,253,504/233,132,676.75
  6. Step 6: Final answer
    x = 1,115,970,000.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.