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Finding the Third Proportional to 165,655,334 and 360,399,222

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Solution

The third proportional to 165,655,334 and 360,399,222 is: 784,083,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,334 : 360,399,222 = 360,399,222 : x
  2. Step 2: Convert to fraction form
    165,655,334/360,399,222 = 360,399,222/x
  3. Step 3: Cross multiply
    165,655,334x = 360,399,222 × 360,399,222
  4. Step 4: Simplify right side
    165,655,334x = 129,887,599,218,205,280
  5. Step 5: Solve for x
    x = 129,887,599,218,205,280/165,655,334
  6. Step 6: Final answer
    x = 784,083,410.31

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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.