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Finding the Third Proportional to 52,119,523.50 and 113,315,098.50

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Solution

The third proportional to 52,119,523.50 and 113,315,098.50 is: 246,362,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,119,523.50 : 113,315,098.50 = 113,315,098.50 : x
  2. Step 2: Convert to fraction form
    52,119,523.50/113,315,098.50 = 113,315,098.50/x
  3. Step 3: Cross multiply
    52,119,523.50x = 113,315,098.50 × 113,315,098.50
  4. Step 4: Simplify right side
    52,119,523.50x = 12,840,311,548,064,702
  5. Step 5: Solve for x
    x = 12,840,311,548,064,702/52,119,523.50
  6. Step 6: Final answer
    x = 246,362,796.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.