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Finding the Third Proportional to 108,262,965 and 255,481,224

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Solution

The third proportional to 108,262,965 and 255,481,224 is: 602,889,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,262,965 : 255,481,224 = 255,481,224 : x
  2. Step 2: Convert to fraction form
    108,262,965/255,481,224 = 255,481,224/x
  3. Step 3: Cross multiply
    108,262,965x = 255,481,224 × 255,481,224
  4. Step 4: Simplify right side
    108,262,965x = 65,270,655,816,538,176
  5. Step 5: Solve for x
    x = 65,270,655,816,538,176/108,262,965
  6. Step 6: Final answer
    x = 602,889,970.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.