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Finding the Third Proportional to 164,580,004 and 224,165,646

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Solution

The third proportional to 164,580,004 and 224,165,646 is: 305,324,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,580,004 : 224,165,646 = 224,165,646 : x
  2. Step 2: Convert to fraction form
    164,580,004/224,165,646 = 224,165,646/x
  3. Step 3: Cross multiply
    164,580,004x = 224,165,646 × 224,165,646
  4. Step 4: Simplify right side
    164,580,004x = 50,250,236,846,597,312
  5. Step 5: Solve for x
    x = 50,250,236,846,597,312/164,580,004
  6. Step 6: Final answer
    x = 305,324,071.12

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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.