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Finding the Third Proportional to 98,962,584 and 204,713,610

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Solution

The third proportional to 98,962,584 and 204,713,610 is: 423,469,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,962,584 : 204,713,610 = 204,713,610 : x
  2. Step 2: Convert to fraction form
    98,962,584/204,713,610 = 204,713,610/x
  3. Step 3: Cross multiply
    98,962,584x = 204,713,610 × 204,713,610
  4. Step 4: Simplify right side
    98,962,584x = 41,907,662,119,232,096
  5. Step 5: Solve for x
    x = 41,907,662,119,232,096/98,962,584
  6. Step 6: Final answer
    x = 423,469,764.28

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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.