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Finding the Third Proportional to 164,580,076 and 224,165,754

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Solution

The third proportional to 164,580,076 and 224,165,754 is: 305,324,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,580,076 : 224,165,754 = 224,165,754 : x
  2. Step 2: Convert to fraction form
    164,580,076/224,165,754 = 224,165,754/x
  3. Step 3: Cross multiply
    164,580,076x = 224,165,754 × 224,165,754
  4. Step 4: Simplify right side
    164,580,076x = 50,250,285,266,388,512
  5. Step 5: Solve for x
    x = 50,250,285,266,388,512/164,580,076
  6. Step 6: Final answer
    x = 305,324,231.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.