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Finding the Third Proportional to 100,470,563.50 and 216,335,847

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Solution

The third proportional to 100,470,563.50 and 216,335,847 is: 465,820,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470,563.50 : 216,335,847 = 216,335,847 : x
  2. Step 2: Convert to fraction form
    100,470,563.50/216,335,847 = 216,335,847/x
  3. Step 3: Cross multiply
    100,470,563.50x = 216,335,847 × 216,335,847
  4. Step 4: Simplify right side
    100,470,563.50x = 46,801,198,697,207,408
  5. Step 5: Solve for x
    x = 46,801,198,697,207,408/100,470,563.50
  6. Step 6: Final answer
    x = 465,820,008.04

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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.