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Finding the Third Proportional to 98,183,340 and 213,605,019

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Solution

The third proportional to 98,183,340 and 213,605,019 is: 464,713,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,183,340 : 213,605,019 = 213,605,019 : x
  2. Step 2: Convert to fraction form
    98,183,340/213,605,019 = 213,605,019/x
  3. Step 3: Cross multiply
    98,183,340x = 213,605,019 × 213,605,019
  4. Step 4: Simplify right side
    98,183,340x = 45,627,104,141,990,360
  5. Step 5: Solve for x
    x = 45,627,104,141,990,360/98,183,340
  6. Step 6: Final answer
    x = 464,713,302.09

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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.