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Finding the Third Proportional to 51,009,497 and 109,296,169

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Solution

The third proportional to 51,009,497 and 109,296,169 is: 234,184,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009,497 : 109,296,169 = 109,296,169 : x
  2. Step 2: Convert to fraction form
    51,009,497/109,296,169 = 109,296,169/x
  3. Step 3: Cross multiply
    51,009,497x = 109,296,169 × 109,296,169
  4. Step 4: Simplify right side
    51,009,497x = 11,945,652,558,076,560
  5. Step 5: Solve for x
    x = 11,945,652,558,076,560/51,009,497
  6. Step 6: Final answer
    x = 234,184,872.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.