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Finding the Third Proportional to 176,771,143.50 and 416,698,738.50

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Solution

The third proportional to 176,771,143.50 and 416,698,738.50 is: 982,274,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,771,143.50 : 416,698,738.50 = 416,698,738.50 : x
  2. Step 2: Convert to fraction form
    176,771,143.50/416,698,738.50 = 416,698,738.50/x
  3. Step 3: Cross multiply
    176,771,143.50x = 416,698,738.50 × 416,698,738.50
  4. Step 4: Simplify right side
    176,771,143.50x = 173,637,838,667,491,392
  5. Step 5: Solve for x
    x = 173,637,838,667,491,392/176,771,143.50
  6. Step 6: Final answer
    x = 982,274,794.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.