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Finding the Third Proportional to 142,145,766 and 214,968,249

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Solution

The third proportional to 142,145,766 and 214,968,249 is: 325,098,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145,766 : 214,968,249 = 214,968,249 : x
  2. Step 2: Convert to fraction form
    142,145,766/214,968,249 = 214,968,249/x
  3. Step 3: Cross multiply
    142,145,766x = 214,968,249 × 214,968,249
  4. Step 4: Simplify right side
    142,145,766x = 46,211,348,078,126,000
  5. Step 5: Solve for x
    x = 46,211,348,078,126,000/142,145,766
  6. Step 6: Final answer
    x = 325,098,308.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.