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Finding the Third Proportional to 66,834,021.38 and 106,346,064.38

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Solution

The third proportional to 66,834,021.38 and 106,346,064.38 is: 169,217,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834,021.38 : 106,346,064.38 = 106,346,064.38 : x
  2. Step 2: Convert to fraction form
    66,834,021.38/106,346,064.38 = 106,346,064.38/x
  3. Step 3: Cross multiply
    66,834,021.38x = 106,346,064.38 × 106,346,064.38
  4. Step 4: Simplify right side
    66,834,021.38x = 11,309,485,408,051,644
  5. Step 5: Solve for x
    x = 11,309,485,408,051,644/66,834,021.38
  6. Step 6: Final answer
    x = 169,217,490.96

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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.