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Finding the Third Proportional to 174,750,069 and 378,578,490

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Solution

The third proportional to 174,750,069 and 378,578,490 is: 820,152,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,069 : 378,578,490 = 378,578,490 : x
  2. Step 2: Convert to fraction form
    174,750,069/378,578,490 = 378,578,490/x
  3. Step 3: Cross multiply
    174,750,069x = 378,578,490 × 378,578,490
  4. Step 4: Simplify right side
    174,750,069x = 143,321,673,090,680,096
  5. Step 5: Solve for x
    x = 143,321,673,090,680,096/174,750,069
  6. Step 6: Final answer
    x = 820,152,311.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.