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Finding the Third Proportional to 165,655,346 and 360,399,246

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Solution

The third proportional to 165,655,346 and 360,399,246 is: 784,083,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,346 : 360,399,246 = 360,399,246 : x
  2. Step 2: Convert to fraction form
    165,655,346/360,399,246 = 360,399,246/x
  3. Step 3: Cross multiply
    165,655,346x = 360,399,246 × 360,399,246
  4. Step 4: Simplify right side
    165,655,346x = 129,887,616,517,368,512
  5. Step 5: Solve for x
    x = 129,887,616,517,368,512/165,655,346
  6. Step 6: Final answer
    x = 784,083,457.94

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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.