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Finding the Third Proportional to 165,655,298 and 360,399,149

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Solution

The third proportional to 165,655,298 and 360,399,149 is: 784,083,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,298 : 360,399,149 = 360,399,149 : x
  2. Step 2: Convert to fraction form
    165,655,298/360,399,149 = 360,399,149/x
  3. Step 3: Cross multiply
    165,655,298x = 360,399,149 × 360,399,149
  4. Step 4: Simplify right side
    165,655,298x = 129,887,546,599,924,208
  5. Step 5: Solve for x
    x = 129,887,546,599,924,208/165,655,298
  6. Step 6: Final answer
    x = 784,083,263.07

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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.