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Finding the Third Proportional to 98,182,814 and 213,603,812

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Solution

The third proportional to 98,182,814 and 213,603,812 is: 464,710,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182,814 : 213,603,812 = 213,603,812 : x
  2. Step 2: Convert to fraction form
    98,182,814/213,603,812 = 213,603,812/x
  3. Step 3: Cross multiply
    98,182,814x = 213,603,812 × 213,603,812
  4. Step 4: Simplify right side
    98,182,814x = 45,626,588,500,931,344
  5. Step 5: Solve for x
    x = 45,626,588,500,931,344/98,182,814
  6. Step 6: Final answer
    x = 464,710,539.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.