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Finding the Third Proportional to 131,016,165.75 and 280,436,989.50

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Solution

The third proportional to 131,016,165.75 and 280,436,989.50 is: 600,268,712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,016,165.75 : 280,436,989.50 = 280,436,989.50 : x
  2. Step 2: Convert to fraction form
    131,016,165.75/280,436,989.50 = 280,436,989.50/x
  3. Step 3: Cross multiply
    131,016,165.75x = 280,436,989.50 × 280,436,989.50
  4. Step 4: Simplify right side
    131,016,165.75x = 78,644,905,079,823,104
  5. Step 5: Solve for x
    x = 78,644,905,079,823,104/131,016,165.75
  6. Step 6: Final answer
    x = 600,268,712.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.