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Finding the Third Proportional to 45,305,124 and 97,822,920

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Solution

The third proportional to 45,305,124 and 97,822,920 is: 211,219,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,305,124 : 97,822,920 = 97,822,920 : x
  2. Step 2: Convert to fraction form
    45,305,124/97,822,920 = 97,822,920/x
  3. Step 3: Cross multiply
    45,305,124x = 97,822,920 × 97,822,920
  4. Step 4: Simplify right side
    45,305,124x = 9,569,323,677,326,400
  5. Step 5: Solve for x
    x = 9,569,323,677,326,400/45,305,124
  6. Step 6: Final answer
    x = 211,219,456.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.