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Finding the Third Proportional to 115,438,694.50 and 178,898,192

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Solution

The third proportional to 115,438,694.50 and 178,898,192 is: 277,242,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438,694.50 : 178,898,192 = 178,898,192 : x
  2. Step 2: Convert to fraction form
    115,438,694.50/178,898,192 = 178,898,192/x
  3. Step 3: Cross multiply
    115,438,694.50x = 178,898,192 × 178,898,192
  4. Step 4: Simplify right side
    115,438,694.50x = 32,004,563,100,868,864
  5. Step 5: Solve for x
    x = 32,004,563,100,868,864/115,438,694.50
  6. Step 6: Final answer
    x = 277,242,940.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.