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Finding the Third Proportional to 233,132,670 and 510,067,701

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Solution

The third proportional to 233,132,670 and 510,067,701 is: 1,115,969,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132,670 : 510,067,701 = 510,067,701 : x
  2. Step 2: Convert to fraction form
    233,132,670/510,067,701 = 510,067,701/x
  3. Step 3: Cross multiply
    233,132,670x = 510,067,701 × 510,067,701
  4. Step 4: Simplify right side
    233,132,670x = 260,169,059,603,425,408
  5. Step 5: Solve for x
    x = 260,169,059,603,425,408/233,132,670
  6. Step 6: Final answer
    x = 1,115,969,973.68

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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.