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Finding the Third Proportional to 98,464,577 and 214,267,690

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Solution

The third proportional to 98,464,577 and 214,267,690 is: 466,265,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,464,577 : 214,267,690 = 214,267,690 : x
  2. Step 2: Convert to fraction form
    98,464,577/214,267,690 = 214,267,690/x
  3. Step 3: Cross multiply
    98,464,577x = 214,267,690 × 214,267,690
  4. Step 4: Simplify right side
    98,464,577x = 45,910,642,977,936,096
  5. Step 5: Solve for x
    x = 45,910,642,977,936,096/98,464,577
  6. Step 6: Final answer
    x = 466,265,578.72

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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.