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Finding the Third Proportional to 151,328,313 and 325,865,738

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Solution

The third proportional to 151,328,313 and 325,865,738 is: 701,709,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,328,313 : 325,865,738 = 325,865,738 : x
  2. Step 2: Convert to fraction form
    151,328,313/325,865,738 = 325,865,738/x
  3. Step 3: Cross multiply
    151,328,313x = 325,865,738 × 325,865,738
  4. Step 4: Simplify right side
    151,328,313x = 106,188,479,202,284,640
  5. Step 5: Solve for x
    x = 106,188,479,202,284,640/151,328,313
  6. Step 6: Final answer
    x = 701,709,264.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.