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Finding the Third Proportional to 52,813,296 and 113,435,822.25

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Solution

The third proportional to 52,813,296 and 113,435,822.25 is: 243,644,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,813,296 : 113,435,822.25 = 113,435,822.25 : x
  2. Step 2: Convert to fraction form
    52,813,296/113,435,822.25 = 113,435,822.25/x
  3. Step 3: Cross multiply
    52,813,296x = 113,435,822.25 × 113,435,822.25
  4. Step 4: Simplify right side
    52,813,296x = 12,867,685,769,533,596
  5. Step 5: Solve for x
    x = 12,867,685,769,533,596/52,813,296
  6. Step 6: Final answer
    x = 243,644,815.68

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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.