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Finding the Third Proportional to 34,238,167.50 and 69,672,073.50

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Solution

The third proportional to 34,238,167.50 and 69,672,073.50 is: 141,777,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,238,167.50 : 69,672,073.50 = 69,672,073.50 : x
  2. Step 2: Convert to fraction form
    34,238,167.50/69,672,073.50 = 69,672,073.50/x
  3. Step 3: Cross multiply
    34,238,167.50x = 69,672,073.50 × 69,672,073.50
  4. Step 4: Simplify right side
    34,238,167.50x = 4,854,197,825,789,402
  5. Step 5: Solve for x
    x = 4,854,197,825,789,402/34,238,167.50
  6. Step 6: Final answer
    x = 141,777,384.14

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.