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Finding the Third Proportional to 100,467,011 and 216,995,206

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Solution

The third proportional to 100,467,011 and 216,995,206 is: 468,680,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467,011 : 216,995,206 = 216,995,206 : x
  2. Step 2: Convert to fraction form
    100,467,011/216,995,206 = 216,995,206/x
  3. Step 3: Cross multiply
    100,467,011x = 216,995,206 × 216,995,206
  4. Step 4: Simplify right side
    100,467,011x = 47,086,919,426,982,432
  5. Step 5: Solve for x
    x = 47,086,919,426,982,432/100,467,011
  6. Step 6: Final answer
    x = 468,680,405.22

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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.