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Finding the Third Proportional to 109,466,972 and 236,289,976

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Solution

The third proportional to 109,466,972 and 236,289,976 is: 510,043,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466,972 : 236,289,976 = 236,289,976 : x
  2. Step 2: Convert to fraction form
    109,466,972/236,289,976 = 236,289,976/x
  3. Step 3: Cross multiply
    109,466,972x = 236,289,976 × 236,289,976
  4. Step 4: Simplify right side
    109,466,972x = 55,832,952,758,080,576
  5. Step 5: Solve for x
    x = 55,832,952,758,080,576/109,466,972
  6. Step 6: Final answer
    x = 510,043,821.78

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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.