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Finding the Third Proportional to 164,054,443.50 and 239,853,327.75

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Solution

The third proportional to 164,054,443.50 and 239,853,327.75 is: 350,673,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,054,443.50 : 239,853,327.75 = 239,853,327.75 : x
  2. Step 2: Convert to fraction form
    164,054,443.50/239,853,327.75 = 239,853,327.75/x
  3. Step 3: Cross multiply
    164,054,443.50x = 239,853,327.75 × 239,853,327.75
  4. Step 4: Simplify right side
    164,054,443.50x = 57,529,618,832,748,920
  5. Step 5: Solve for x
    x = 57,529,618,832,748,920/164,054,443.50
  6. Step 6: Final answer
    x = 350,673,944.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.