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Finding the Third Proportional to 133,165,338 and 291,787,329

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Solution

The third proportional to 133,165,338 and 291,787,329 is: 639,354,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,165,338 : 291,787,329 = 291,787,329 : x
  2. Step 2: Convert to fraction form
    133,165,338/291,787,329 = 291,787,329/x
  3. Step 3: Cross multiply
    133,165,338x = 291,787,329 × 291,787,329
  4. Step 4: Simplify right side
    133,165,338x = 85,139,845,364,954,240
  5. Step 5: Solve for x
    x = 85,139,845,364,954,240/133,165,338
  6. Step 6: Final answer
    x = 639,354,404.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.