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Finding the Third Proportional to 51,825,516 and 113,413,848

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Solution

The third proportional to 51,825,516 and 113,413,848 is: 248,192,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825,516 : 113,413,848 = 113,413,848 : x
  2. Step 2: Convert to fraction form
    51,825,516/113,413,848 = 113,413,848/x
  3. Step 3: Cross multiply
    51,825,516x = 113,413,848 × 113,413,848
  4. Step 4: Simplify right side
    51,825,516x = 12,862,700,918,167,104
  5. Step 5: Solve for x
    x = 12,862,700,918,167,104/51,825,516
  6. Step 6: Final answer
    x = 248,192,433.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.