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Finding the Third Proportional to 222,545,184 and 340,426,512

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Solution

The third proportional to 222,545,184 and 340,426,512 is: 520,749,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,545,184 : 340,426,512 = 340,426,512 : x
  2. Step 2: Convert to fraction form
    222,545,184/340,426,512 = 340,426,512/x
  3. Step 3: Cross multiply
    222,545,184x = 340,426,512 × 340,426,512
  4. Step 4: Simplify right side
    222,545,184x = 115,890,210,072,486,144
  5. Step 5: Solve for x
    x = 115,890,210,072,486,144/222,545,184
  6. Step 6: Final answer
    x = 520,749,126.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.