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Finding the Third Proportional to 100,466,996 and 216,995,176

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Solution

The third proportional to 100,466,996 and 216,995,176 is: 468,680,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466,996 : 216,995,176 = 216,995,176 : x
  2. Step 2: Convert to fraction form
    100,466,996/216,995,176 = 216,995,176/x
  3. Step 3: Cross multiply
    100,466,996x = 216,995,176 × 216,995,176
  4. Step 4: Simplify right side
    100,466,996x = 47,086,906,407,270,976
  5. Step 5: Solve for x
    x = 47,086,906,407,270,976/100,466,996
  6. Step 6: Final answer
    x = 468,680,345.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.