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Finding the Third Proportional to 148,051,890 and 320,814,036

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Solution

The third proportional to 148,051,890 and 320,814,036 is: 695,172,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,051,890 : 320,814,036 = 320,814,036 : x
  2. Step 2: Convert to fraction form
    148,051,890/320,814,036 = 320,814,036/x
  3. Step 3: Cross multiply
    148,051,890x = 320,814,036 × 320,814,036
  4. Step 4: Simplify right side
    148,051,890x = 102,921,645,694,609,296
  5. Step 5: Solve for x
    x = 102,921,645,694,609,296/148,051,890
  6. Step 6: Final answer
    x = 695,172,791.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.