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Finding the Third Proportional to 119,800,971 and 171,198,360

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Solution

The third proportional to 119,800,971 and 171,198,360 is: 244,646,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800,971 : 171,198,360 = 171,198,360 : x
  2. Step 2: Convert to fraction form
    119,800,971/171,198,360 = 171,198,360/x
  3. Step 3: Cross multiply
    119,800,971x = 171,198,360 × 171,198,360
  4. Step 4: Simplify right side
    119,800,971x = 29,308,878,466,689,600
  5. Step 5: Solve for x
    x = 29,308,878,466,689,600/119,800,971
  6. Step 6: Final answer
    x = 244,646,418.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.