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Finding the Third Proportional to 178,099,016 and 272,445,128

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Solution

The third proportional to 178,099,016 and 272,445,128 is: 416,770,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,099,016 : 272,445,128 = 272,445,128 : x
  2. Step 2: Convert to fraction form
    178,099,016/272,445,128 = 272,445,128/x
  3. Step 3: Cross multiply
    178,099,016x = 272,445,128 × 272,445,128
  4. Step 4: Simplify right side
    178,099,016x = 74,226,347,770,936,384
  5. Step 5: Solve for x
    x = 74,226,347,770,936,384/178,099,016
  6. Step 6: Final answer
    x = 416,770,117.20

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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.