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Finding the Third Proportional to 198,076,240 and 434,416,191

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Solution

The third proportional to 198,076,240 and 434,416,191 is: 952,751,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076,240 : 434,416,191 = 434,416,191 : x
  2. Step 2: Convert to fraction form
    198,076,240/434,416,191 = 434,416,191/x
  3. Step 3: Cross multiply
    198,076,240x = 434,416,191 × 434,416,191
  4. Step 4: Simplify right side
    198,076,240x = 188,717,427,002,948,480
  5. Step 5: Solve for x
    x = 188,717,427,002,948,480/198,076,240
  6. Step 6: Final answer
    x = 952,751,460.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.