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Finding the Third Proportional to 109,466,976 and 236,289,984

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Solution

The third proportional to 109,466,976 and 236,289,984 is: 510,043,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466,976 : 236,289,984 = 236,289,984 : x
  2. Step 2: Convert to fraction form
    109,466,976/236,289,984 = 236,289,984/x
  3. Step 3: Cross multiply
    109,466,976x = 236,289,984 × 236,289,984
  4. Step 4: Simplify right side
    109,466,976x = 55,832,956,538,720,256
  5. Step 5: Solve for x
    x = 55,832,956,538,720,256/109,466,976
  6. Step 6: Final answer
    x = 510,043,837.68

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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.