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Finding the Third Proportional to 148,205,122,578 and 229,001,485,851

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Solution

The third proportional to 148,205,122,578 and 229,001,485,851 is: 353,845,262,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,205,122,578 : 229,001,485,851 = 229,001,485,851 : x
  2. Step 2: Convert to fraction form
    148,205,122,578/229,001,485,851 = 229,001,485,851/x
  3. Step 3: Cross multiply
    148,205,122,578x = 229,001,485,851 × 229,001,485,851
  4. Step 4: Simplify right side
    148,205,122,578x = 52,441,680,521,965,755,957,248
  5. Step 5: Solve for x
    x = 52,441,680,521,965,755,957,248/148,205,122,578
  6. Step 6: Final answer
    x = 353,845,262,631.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.