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Finding the Third Proportional to 165,655,351 and 360,399,256

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Solution

The third proportional to 165,655,351 and 360,399,256 is: 784,083,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,351 : 360,399,256 = 360,399,256 : x
  2. Step 2: Convert to fraction form
    165,655,351/360,399,256 = 360,399,256/x
  3. Step 3: Cross multiply
    165,655,351x = 360,399,256 × 360,399,256
  4. Step 4: Simplify right side
    165,655,351x = 129,887,623,725,353,536
  5. Step 5: Solve for x
    x = 129,887,623,725,353,536/165,655,351
  6. Step 6: Final answer
    x = 784,083,477.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.