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Finding the Third Proportional to 64,138,302 and 140,033,179

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Solution

The third proportional to 64,138,302 and 140,033,179 is: 305,734,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138,302 : 140,033,179 = 140,033,179 : x
  2. Step 2: Convert to fraction form
    64,138,302/140,033,179 = 140,033,179/x
  3. Step 3: Cross multiply
    64,138,302x = 140,033,179 × 140,033,179
  4. Step 4: Simplify right side
    64,138,302x = 19,609,291,220,846,040
  5. Step 5: Solve for x
    x = 19,609,291,220,846,040/64,138,302
  6. Step 6: Final answer
    x = 305,734,492.64

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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.