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Finding the Third Proportional to 99,167,384 and 214,269,250

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Solution

The third proportional to 99,167,384 and 214,269,250 is: 462,967,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,167,384 : 214,269,250 = 214,269,250 : x
  2. Step 2: Convert to fraction form
    99,167,384/214,269,250 = 214,269,250/x
  3. Step 3: Cross multiply
    99,167,384x = 214,269,250 × 214,269,250
  4. Step 4: Simplify right side
    99,167,384x = 45,911,311,495,562,496
  5. Step 5: Solve for x
    x = 45,911,311,495,562,496/99,167,384
  6. Step 6: Final answer
    x = 462,967,859.43

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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.