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Finding the Third Proportional to 178,398,254.25 and 384,125,661

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Solution

The third proportional to 178,398,254.25 and 384,125,661 is: 827,096,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,398,254.25 : 384,125,661 = 384,125,661 : x
  2. Step 2: Convert to fraction form
    178,398,254.25/384,125,661 = 384,125,661/x
  3. Step 3: Cross multiply
    178,398,254.25x = 384,125,661 × 384,125,661
  4. Step 4: Simplify right side
    178,398,254.25x = 147,552,523,438,686,912
  5. Step 5: Solve for x
    x = 147,552,523,438,686,912/178,398,254.25
  6. Step 6: Final answer
    x = 827,096,229.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.