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Finding the Third Proportional to 66,823,899 and 106,331,016

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Solution

The third proportional to 66,823,899 and 106,331,016 is: 169,195,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,823,899 : 106,331,016 = 106,331,016 : x
  2. Step 2: Convert to fraction form
    66,823,899/106,331,016 = 106,331,016/x
  3. Step 3: Cross multiply
    66,823,899x = 106,331,016 × 106,331,016
  4. Step 4: Simplify right side
    66,823,899x = 11,306,284,963,592,256
  5. Step 5: Solve for x
    x = 11,306,284,963,592,256/66,823,899
  6. Step 6: Final answer
    x = 169,195,230.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.