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Finding the Third Proportional to 52,214,976 and 108,720,960

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Solution

The third proportional to 52,214,976 and 108,720,960 is: 226,376,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214,976 : 108,720,960 = 108,720,960 : x
  2. Step 2: Convert to fraction form
    52,214,976/108,720,960 = 108,720,960/x
  3. Step 3: Cross multiply
    52,214,976x = 108,720,960 × 108,720,960
  4. Step 4: Simplify right side
    52,214,976x = 11,820,247,143,321,600
  5. Step 5: Solve for x
    x = 11,820,247,143,321,600/52,214,976
  6. Step 6: Final answer
    x = 226,376,569.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.