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Finding the Third Proportional to 178,100,219 and 272,446,811

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Solution

The third proportional to 178,100,219 and 272,446,811 is: 416,772,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100,219 : 272,446,811 = 272,446,811 : x
  2. Step 2: Convert to fraction form
    178,100,219/272,446,811 = 272,446,811/x
  3. Step 3: Cross multiply
    178,100,219x = 272,446,811 × 272,446,811
  4. Step 4: Simplify right side
    178,100,219x = 74,227,264,824,069,728
  5. Step 5: Solve for x
    x = 74,227,264,824,069,728/178,100,219
  6. Step 6: Final answer
    x = 416,772,451.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.