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Finding the Third Proportional to 98,296,958 and 212,950,486

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Solution

The third proportional to 98,296,958 and 212,950,486 is: 461,335,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,296,958 : 212,950,486 = 212,950,486 : x
  2. Step 2: Convert to fraction form
    98,296,958/212,950,486 = 212,950,486/x
  3. Step 3: Cross multiply
    98,296,958x = 212,950,486 × 212,950,486
  4. Step 4: Simplify right side
    98,296,958x = 45,347,909,487,636,192
  5. Step 5: Solve for x
    x = 45,347,909,487,636,192/98,296,958
  6. Step 6: Final answer
    x = 461,335,837.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.