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Finding the Third Proportional to 148,331,914 and 218,211,076

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Solution

The third proportional to 148,331,914 and 218,211,076 is: 321,010,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,331,914 : 218,211,076 = 218,211,076 : x
  2. Step 2: Convert to fraction form
    148,331,914/218,211,076 = 218,211,076/x
  3. Step 3: Cross multiply
    148,331,914x = 218,211,076 × 218,211,076
  4. Step 4: Simplify right side
    148,331,914x = 47,616,073,689,077,776
  5. Step 5: Solve for x
    x = 47,616,073,689,077,776/148,331,914
  6. Step 6: Final answer
    x = 321,010,309.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.