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Finding the Third Proportional to 198,076,648 and 434,416,994

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Solution

The third proportional to 198,076,648 and 434,416,994 is: 952,753,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076,648 : 434,416,994 = 434,416,994 : x
  2. Step 2: Convert to fraction form
    198,076,648/434,416,994 = 434,416,994/x
  3. Step 3: Cross multiply
    198,076,648x = 434,416,994 × 434,416,994
  4. Step 4: Simplify right side
    198,076,648x = 188,718,124,675,996,032
  5. Step 5: Solve for x
    x = 188,718,124,675,996,032/198,076,648
  6. Step 6: Final answer
    x = 952,753,020.52

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