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Finding the Third Proportional to 66,834,067.50 and 106,346,142

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Solution

The third proportional to 66,834,067.50 and 106,346,142 is: 169,217,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834,067.50 : 106,346,142 = 106,346,142 : x
  2. Step 2: Convert to fraction form
    66,834,067.50/106,346,142 = 106,346,142/x
  3. Step 3: Cross multiply
    66,834,067.50x = 106,346,142 × 106,346,142
  4. Step 4: Simplify right side
    66,834,067.50x = 11,309,501,918,284,164
  5. Step 5: Solve for x
    x = 11,309,501,918,284,164/66,834,067.50
  6. Step 6: Final answer
    x = 169,217,621.21

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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.