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Finding the Third Proportional to 52,961,493 and 114,038,529

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Solution

The third proportional to 52,961,493 and 114,038,529 is: 245,551,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,961,493 : 114,038,529 = 114,038,529 : x
  2. Step 2: Convert to fraction form
    52,961,493/114,038,529 = 114,038,529/x
  3. Step 3: Cross multiply
    52,961,493x = 114,038,529 × 114,038,529
  4. Step 4: Simplify right side
    52,961,493x = 13,004,786,096,483,840
  5. Step 5: Solve for x
    x = 13,004,786,096,483,840/52,961,493
  6. Step 6: Final answer
    x = 245,551,727.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.