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Finding the Third Proportional to 119,805,369.75 and 171,204,989.50

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Solution

The third proportional to 119,805,369.75 and 171,204,989.50 is: 244,656,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,805,369.75 : 171,204,989.50 = 171,204,989.50 : x
  2. Step 2: Convert to fraction form
    119,805,369.75/171,204,989.50 = 171,204,989.50/x
  3. Step 3: Cross multiply
    119,805,369.75x = 171,204,989.50 × 171,204,989.50
  4. Step 4: Simplify right side
    119,805,369.75x = 29,311,148,429,695,112
  5. Step 5: Solve for x
    x = 29,311,148,429,695,112/119,805,369.75
  6. Step 6: Final answer
    x = 244,656,383.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.