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Finding the Third Proportional to 198,076,324 and 434,416,416

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Solution

The third proportional to 198,076,324 and 434,416,416 is: 952,752,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076,324 : 434,416,416 = 434,416,416 : x
  2. Step 2: Convert to fraction form
    198,076,324/434,416,416 = 434,416,416/x
  3. Step 3: Cross multiply
    198,076,324x = 434,416,416 × 434,416,416
  4. Step 4: Simplify right side
    198,076,324x = 188,717,622,490,285,056
  5. Step 5: Solve for x
    x = 188,717,622,490,285,056/198,076,324
  6. Step 6: Final answer
    x = 952,752,043.65

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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.