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Finding the Third Proportional to 165,096,690 and 359,857,788

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Solution

The third proportional to 165,096,690 and 359,857,788 is: 784,374,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,096,690 : 359,857,788 = 359,857,788 : x
  2. Step 2: Convert to fraction form
    165,096,690/359,857,788 = 359,857,788/x
  3. Step 3: Cross multiply
    165,096,690x = 359,857,788 × 359,857,788
  4. Step 4: Simplify right side
    165,096,690x = 129,497,627,584,252,944
  5. Step 5: Solve for x
    x = 129,497,627,584,252,944/165,096,690
  6. Step 6: Final answer
    x = 784,374,463.14

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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.