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Finding the Third Proportional to 164,467,873,092 and 221,905,777,950

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Solution

The third proportional to 164,467,873,092 and 221,905,777,950 is: 299,402,998,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,467,873,092 : 221,905,777,950 = 221,905,777,950 : x
  2. Step 2: Convert to fraction form
    164,467,873,092/221,905,777,950 = 221,905,777,950/x
  3. Step 3: Cross multiply
    164,467,873,092x = 221,905,777,950 × 221,905,777,950
  4. Step 4: Simplify right side
    164,467,873,092x = 49,242,174,287,594,708,271,104
  5. Step 5: Solve for x
    x = 49,242,174,287,594,708,271,104/164,467,873,092
  6. Step 6: Final answer
    x = 299,402,998,055.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.