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Finding the Third Proportional to 138,852,171 and 298,601,127

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Solution

The third proportional to 138,852,171 and 298,601,127 is: 642,140,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852,171 : 298,601,127 = 298,601,127 : x
  2. Step 2: Convert to fraction form
    138,852,171/298,601,127 = 298,601,127/x
  3. Step 3: Cross multiply
    138,852,171x = 298,601,127 × 298,601,127
  4. Step 4: Simplify right side
    138,852,171x = 89,162,633,045,670,128
  5. Step 5: Solve for x
    x = 89,162,633,045,670,128/138,852,171
  6. Step 6: Final answer
    x = 642,140,719.90

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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.