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Finding the Third Proportional to 164,992,032 and 343,535,256

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Solution

The third proportional to 164,992,032 and 343,535,256 is: 715,285,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,992,032 : 343,535,256 = 343,535,256 : x
  2. Step 2: Convert to fraction form
    164,992,032/343,535,256 = 343,535,256/x
  3. Step 3: Cross multiply
    164,992,032x = 343,535,256 × 343,535,256
  4. Step 4: Simplify right side
    164,992,032x = 118,016,472,114,985,536
  5. Step 5: Solve for x
    x = 118,016,472,114,985,536/164,992,032
  6. Step 6: Final answer
    x = 715,285,887.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.