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Finding the Third Proportional to 176,225,341.50 and 381,738,987

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Solution

The third proportional to 176,225,341.50 and 381,738,987 is: 826,922,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,225,341.50 : 381,738,987 = 381,738,987 : x
  2. Step 2: Convert to fraction form
    176,225,341.50/381,738,987 = 381,738,987/x
  3. Step 3: Cross multiply
    176,225,341.50x = 381,738,987 × 381,738,987
  4. Step 4: Simplify right side
    176,225,341.50x = 145,724,654,195,786,176
  5. Step 5: Solve for x
    x = 145,724,654,195,786,176/176,225,341.50
  6. Step 6: Final answer
    x = 826,922,240.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.