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Finding the Third Proportional to 165,655,343 and 360,399,240

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Solution

The third proportional to 165,655,343 and 360,399,240 is: 784,083,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,343 : 360,399,240 = 360,399,240 : x
  2. Step 2: Convert to fraction form
    165,655,343/360,399,240 = 360,399,240/x
  3. Step 3: Cross multiply
    165,655,343x = 360,399,240 × 360,399,240
  4. Step 4: Simplify right side
    165,655,343x = 129,887,612,192,577,600
  5. Step 5: Solve for x
    x = 129,887,612,192,577,600/165,655,343
  6. Step 6: Final answer
    x = 784,083,446.03

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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.