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Finding the Third Proportional to 126,956,950.88 and 178,783,363.13

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Solution

The third proportional to 126,956,950.88 and 178,783,363.13 is: 251,766,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,956,950.88 : 178,783,363.13 = 178,783,363.13 : x
  2. Step 2: Convert to fraction form
    126,956,950.88/178,783,363.13 = 178,783,363.13/x
  3. Step 3: Cross multiply
    126,956,950.88x = 178,783,363.13 × 178,783,363.13
  4. Step 4: Simplify right side
    126,956,950.88x = 31,963,490,930,285,608
  5. Step 5: Solve for x
    x = 31,963,490,930,285,608/126,956,950.88
  6. Step 6: Final answer
    x = 251,766,372.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.