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Finding the Third Proportional to 198,076,322 and 434,416,412

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Solution

The third proportional to 198,076,322 and 434,416,412 is: 952,752,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076,322 : 434,416,412 = 434,416,412 : x
  2. Step 2: Convert to fraction form
    198,076,322/434,416,412 = 434,416,412/x
  3. Step 3: Cross multiply
    198,076,322x = 434,416,412 × 434,416,412
  4. Step 4: Simplify right side
    198,076,322x = 188,717,619,014,953,728
  5. Step 5: Solve for x
    x = 188,717,619,014,953,728/198,076,322
  6. Step 6: Final answer
    x = 952,752,035.73

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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.