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Finding the Third Proportional to 45,563,289 and 99,781,266

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Solution

The third proportional to 45,563,289 and 99,781,266 is: 218,515,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,563,289 : 99,781,266 = 99,781,266 : x
  2. Step 2: Convert to fraction form
    45,563,289/99,781,266 = 99,781,266/x
  3. Step 3: Cross multiply
    45,563,289x = 99,781,266 × 99,781,266
  4. Step 4: Simplify right side
    45,563,289x = 9,956,301,044,562,756
  5. Step 5: Solve for x
    x = 9,956,301,044,562,756/45,563,289
  6. Step 6: Final answer
    x = 218,515,854.83

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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.