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Finding the Third Proportional to 46,339,023.38 and 99,854,383.50

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Solution

The third proportional to 46,339,023.38 and 99,854,383.50 is: 215,172,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,339,023.38 : 99,854,383.50 = 99,854,383.50 : x
  2. Step 2: Convert to fraction form
    46,339,023.38/99,854,383.50 = 99,854,383.50/x
  3. Step 3: Cross multiply
    46,339,023.38x = 99,854,383.50 × 99,854,383.50
  4. Step 4: Simplify right side
    46,339,023.38x = 9,970,897,904,165,072
  5. Step 5: Solve for x
    x = 9,970,897,904,165,072/46,339,023.38
  6. Step 6: Final answer
    x = 215,172,810.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.