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Finding the Third Proportional to 135,211,464 and 295,200,144

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Solution

The third proportional to 135,211,464 and 295,200,144 is: 644,495,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,211,464 : 295,200,144 = 295,200,144 : x
  2. Step 2: Convert to fraction form
    135,211,464/295,200,144 = 295,200,144/x
  3. Step 3: Cross multiply
    135,211,464x = 295,200,144 × 295,200,144
  4. Step 4: Simplify right side
    135,211,464x = 87,143,125,017,620,736
  5. Step 5: Solve for x
    x = 87,143,125,017,620,736/135,211,464
  6. Step 6: Final answer
    x = 644,495,092.65

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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.