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Finding the Third Proportional to 66,823,992 and 106,331,157

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Solution

The third proportional to 66,823,992 and 106,331,157 is: 169,195,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,823,992 : 106,331,157 = 106,331,157 : x
  2. Step 2: Convert to fraction form
    66,823,992/106,331,157 = 106,331,157/x
  3. Step 3: Cross multiply
    66,823,992x = 106,331,157 × 106,331,157
  4. Step 4: Simplify right side
    66,823,992x = 11,306,314,948,958,648
  5. Step 5: Solve for x
    x = 11,306,314,948,958,648/66,823,992
  6. Step 6: Final answer
    x = 169,195,443.29

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Why These Related Problems?

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