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Finding the Third Proportional to 98,183,330 and 213,605,004

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Solution

The third proportional to 98,183,330 and 213,605,004 is: 464,713,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,183,330 : 213,605,004 = 213,605,004 : x
  2. Step 2: Convert to fraction form
    98,183,330/213,605,004 = 213,605,004/x
  3. Step 3: Cross multiply
    98,183,330x = 213,605,004 × 213,605,004
  4. Step 4: Simplify right side
    98,183,330x = 45,627,097,733,840,016
  5. Step 5: Solve for x
    x = 45,627,097,733,840,016/98,183,330
  6. Step 6: Final answer
    x = 464,713,284.16

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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.