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Finding the Third Proportional to 99,764,692,711 and 217,091,994,638

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Solution

The third proportional to 99,764,692,711 and 217,091,994,638 is: 472,400,935,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,764,692,711 : 217,091,994,638 = 217,091,994,638 : x
  2. Step 2: Convert to fraction form
    99,764,692,711/217,091,994,638 = 217,091,994,638/x
  3. Step 3: Cross multiply
    99,764,692,711x = 217,091,994,638 × 217,091,994,638
  4. Step 4: Simplify right side
    99,764,692,711x = 47,128,934,135,905,422,147,584
  5. Step 5: Solve for x
    x = 47,128,934,135,905,422,147,584/99,764,692,711
  6. Step 6: Final answer
    x = 472,400,935,192.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.