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Finding the Third Proportional to 65,147,268 and 135,653,276

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Solution

The third proportional to 65,147,268 and 135,653,276 is: 282,464,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,147,268 : 135,653,276 = 135,653,276 : x
  2. Step 2: Convert to fraction form
    65,147,268/135,653,276 = 135,653,276/x
  3. Step 3: Cross multiply
    65,147,268x = 135,653,276 × 135,653,276
  4. Step 4: Simplify right side
    65,147,268x = 18,401,811,289,532,176
  5. Step 5: Solve for x
    x = 18,401,811,289,532,176/65,147,268
  6. Step 6: Final answer
    x = 282,464,819.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.