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Finding the Third Proportional to 165,655,287 and 360,399,128

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Solution

The third proportional to 165,655,287 and 360,399,128 is: 784,083,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,287 : 360,399,128 = 360,399,128 : x
  2. Step 2: Convert to fraction form
    165,655,287/360,399,128 = 360,399,128/x
  3. Step 3: Cross multiply
    165,655,287x = 360,399,128 × 360,399,128
  4. Step 4: Simplify right side
    165,655,287x = 129,887,531,463,160,384
  5. Step 5: Solve for x
    x = 129,887,531,463,160,384/165,655,287
  6. Step 6: Final answer
    x = 784,083,223.76

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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.