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Finding the Third Proportional to 138,137,008 and 297,177,362

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Solution

The third proportional to 138,137,008 and 297,177,362 is: 639,324,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,137,008 : 297,177,362 = 297,177,362 : x
  2. Step 2: Convert to fraction form
    138,137,008/297,177,362 = 297,177,362/x
  3. Step 3: Cross multiply
    138,137,008x = 297,177,362 × 297,177,362
  4. Step 4: Simplify right side
    138,137,008x = 88,314,384,485,279,040
  5. Step 5: Solve for x
    x = 88,314,384,485,279,040/138,137,008
  6. Step 6: Final answer
    x = 639,324,579.01

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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.