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Finding the Third Proportional to 98,962,593 and 204,713,634

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Solution

The third proportional to 98,962,593 and 204,713,634 is: 423,469,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,962,593 : 204,713,634 = 204,713,634 : x
  2. Step 2: Convert to fraction form
    98,962,593/204,713,634 = 204,713,634/x
  3. Step 3: Cross multiply
    98,962,593x = 204,713,634 × 204,713,634
  4. Step 4: Simplify right side
    98,962,593x = 41,907,671,945,485,952
  5. Step 5: Solve for x
    x = 41,907,671,945,485,952/98,962,593
  6. Step 6: Final answer
    x = 423,469,825.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.