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Finding the Third Proportional to 98,183,334 and 213,605,012

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Solution

The third proportional to 98,183,334 and 213,605,012 is: 464,713,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,183,334 : 213,605,012 = 213,605,012 : x
  2. Step 2: Convert to fraction form
    98,183,334/213,605,012 = 213,605,012/x
  3. Step 3: Cross multiply
    98,183,334x = 213,605,012 × 213,605,012
  4. Step 4: Simplify right side
    98,183,334x = 45,627,101,151,520,144
  5. Step 5: Solve for x
    x = 45,627,101,151,520,144/98,183,334
  6. Step 6: Final answer
    x = 464,713,300.03

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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.