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Finding the Third Proportional to 64,138,299.61 and 140,033,174.63

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Solution

The third proportional to 64,138,299.61 and 140,033,174.63 is: 305,734,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138,299.61 : 140,033,174.63 = 140,033,174.63 : x
  2. Step 2: Convert to fraction form
    64,138,299.61/140,033,174.63 = 140,033,174.63/x
  3. Step 3: Cross multiply
    64,138,299.61x = 140,033,174.63 × 140,033,174.63
  4. Step 4: Simplify right side
    64,138,299.61x = 19,609,289,995,555,744
  5. Step 5: Solve for x
    x = 19,609,289,995,555,744/64,138,299.61
  6. Step 6: Final answer
    x = 305,734,484.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.