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Finding the Third Proportional to 164,580,000 and 224,165,640

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Solution

The third proportional to 164,580,000 and 224,165,640 is: 305,324,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,580,000 : 224,165,640 = 224,165,640 : x
  2. Step 2: Convert to fraction form
    164,580,000/224,165,640 = 224,165,640/x
  3. Step 3: Cross multiply
    164,580,000x = 224,165,640 × 224,165,640
  4. Step 4: Simplify right side
    164,580,000x = 50,250,234,156,609,600
  5. Step 5: Solve for x
    x = 50,250,234,156,609,600/164,580,000
  6. Step 6: Final answer
    x = 305,324,062.20

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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.