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Finding the Third Proportional to 100,948,158 and 219,124,881

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Solution

The third proportional to 100,948,158 and 219,124,881 is: 475,647,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948,158 : 219,124,881 = 219,124,881 : x
  2. Step 2: Convert to fraction form
    100,948,158/219,124,881 = 219,124,881/x
  3. Step 3: Cross multiply
    100,948,158x = 219,124,881 × 219,124,881
  4. Step 4: Simplify right side
    100,948,158x = 48,015,713,473,264,160
  5. Step 5: Solve for x
    x = 48,015,713,473,264,160/100,948,158
  6. Step 6: Final answer
    x = 475,647,247.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.