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Finding the Third Proportional to 138,852,177 and 298,601,139

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Solution

The third proportional to 138,852,177 and 298,601,139 is: 642,140,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852,177 : 298,601,139 = 298,601,139 : x
  2. Step 2: Convert to fraction form
    138,852,177/298,601,139 = 298,601,139/x
  3. Step 3: Cross multiply
    138,852,177x = 298,601,139 × 298,601,139
  4. Step 4: Simplify right side
    138,852,177x = 89,162,640,212,097,328
  5. Step 5: Solve for x
    x = 89,162,640,212,097,328/138,852,177
  6. Step 6: Final answer
    x = 642,140,743.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.