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Finding the Third Proportional to 102,472,220 and 223,138,906

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Solution

The third proportional to 102,472,220 and 223,138,906 is: 485,897,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,220 : 223,138,906 = 223,138,906 : x
  2. Step 2: Convert to fraction form
    102,472,220/223,138,906 = 223,138,906/x
  3. Step 3: Cross multiply
    102,472,220x = 223,138,906 × 223,138,906
  4. Step 4: Simplify right side
    102,472,220x = 49,790,971,370,876,832
  5. Step 5: Solve for x
    x = 49,790,971,370,876,832/102,472,220
  6. Step 6: Final answer
    x = 485,897,264.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.