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Finding the Third Proportional to 178,435,049 and 272,781,170

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Solution

The third proportional to 178,435,049 and 272,781,170 is: 417,012,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435,049 : 272,781,170 = 272,781,170 : x
  2. Step 2: Convert to fraction form
    178,435,049/272,781,170 = 272,781,170/x
  3. Step 3: Cross multiply
    178,435,049x = 272,781,170 × 272,781,170
  4. Step 4: Simplify right side
    178,435,049x = 74,409,566,706,568,896
  5. Step 5: Solve for x
    x = 74,409,566,706,568,896/178,435,049
  6. Step 6: Final answer
    x = 417,012,056.34

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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.