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Finding the Third Proportional to 64,999,137 and 132,268,320

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Solution

The third proportional to 64,999,137 and 132,268,320 is: 269,156,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,999,137 : 132,268,320 = 132,268,320 : x
  2. Step 2: Convert to fraction form
    64,999,137/132,268,320 = 132,268,320/x
  3. Step 3: Cross multiply
    64,999,137x = 132,268,320 × 132,268,320
  4. Step 4: Simplify right side
    64,999,137x = 17,494,908,475,622,400
  5. Step 5: Solve for x
    x = 17,494,908,475,622,400/64,999,137
  6. Step 6: Final answer
    x = 269,156,011.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.