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Finding the Third Proportional to 52,477,384.50 and 114,184,401

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Solution

The third proportional to 52,477,384.50 and 114,184,401 is: 248,451,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477,384.50 : 114,184,401 = 114,184,401 : x
  2. Step 2: Convert to fraction form
    52,477,384.50/114,184,401 = 114,184,401/x
  3. Step 3: Cross multiply
    52,477,384.50x = 114,184,401 × 114,184,401
  4. Step 4: Simplify right side
    52,477,384.50x = 13,038,077,431,728,800
  5. Step 5: Solve for x
    x = 13,038,077,431,728,800/52,477,384.50
  6. Step 6: Final answer
    x = 248,451,357.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.