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Finding the Third Proportional to 165,346,056 and 355,962,384

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Solution

The third proportional to 165,346,056 and 355,962,384 is: 766,327,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,346,056 : 355,962,384 = 355,962,384 : x
  2. Step 2: Convert to fraction form
    165,346,056/355,962,384 = 355,962,384/x
  3. Step 3: Cross multiply
    165,346,056x = 355,962,384 × 355,962,384
  4. Step 4: Simplify right side
    165,346,056x = 126,709,218,822,963,456
  5. Step 5: Solve for x
    x = 126,709,218,822,963,456/165,346,056
  6. Step 6: Final answer
    x = 766,327,434.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.