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Finding the Third Proportional to 151,539,678 and 221,640,806.25

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Solution

The third proportional to 151,539,678 and 221,640,806.25 is: 324,170,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,539,678 : 221,640,806.25 = 221,640,806.25 : x
  2. Step 2: Convert to fraction form
    151,539,678/221,640,806.25 = 221,640,806.25/x
  3. Step 3: Cross multiply
    151,539,678x = 221,640,806.25 × 221,640,806.25
  4. Step 4: Simplify right side
    151,539,678x = 49,124,646,995,150,040
  5. Step 5: Solve for x
    x = 49,124,646,995,150,040/151,539,678
  6. Step 6: Final answer
    x = 324,170,195.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.