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Finding the Third Proportional to 178,027,200 and 381,604,608

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Solution

The third proportional to 178,027,200 and 381,604,608 is: 817,976,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,027,200 : 381,604,608 = 381,604,608 : x
  2. Step 2: Convert to fraction form
    178,027,200/381,604,608 = 381,604,608/x
  3. Step 3: Cross multiply
    178,027,200x = 381,604,608 × 381,604,608
  4. Step 4: Simplify right side
    178,027,200x = 145,622,076,846,833,664
  5. Step 5: Solve for x
    x = 145,622,076,846,833,664/178,027,200
  6. Step 6: Final answer
    x = 817,976,561.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.