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Finding the Third Proportional to 138,163,077 and 297,848,421

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Solution

The third proportional to 138,163,077 and 297,848,421 is: 642,093,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163,077 : 297,848,421 = 297,848,421 : x
  2. Step 2: Convert to fraction form
    138,163,077/297,848,421 = 297,848,421/x
  3. Step 3: Cross multiply
    138,163,077x = 297,848,421 × 297,848,421
  4. Step 4: Simplify right side
    138,163,077x = 88,713,681,892,193,248
  5. Step 5: Solve for x
    x = 88,713,681,892,193,248/138,163,077
  6. Step 6: Final answer
    x = 642,093,993.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.