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Finding the Third Proportional to 98,494,709 and 213,811,714

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Solution

The third proportional to 98,494,709 and 213,811,714 is: 464,141,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,494,709 : 213,811,714 = 213,811,714 : x
  2. Step 2: Convert to fraction form
    98,494,709/213,811,714 = 213,811,714/x
  3. Step 3: Cross multiply
    98,494,709x = 213,811,714 × 213,811,714
  4. Step 4: Simplify right side
    98,494,709x = 45,715,449,043,617,792
  5. Step 5: Solve for x
    x = 45,715,449,043,617,792/98,494,709
  6. Step 6: Final answer
    x = 464,141,165.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.