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Finding the Third Proportional to 148,239,867 and 229,813,097

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Solution

The third proportional to 148,239,867 and 229,813,097 is: 356,274,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,239,867 : 229,813,097 = 229,813,097 : x
  2. Step 2: Convert to fraction form
    148,239,867/229,813,097 = 229,813,097/x
  3. Step 3: Cross multiply
    148,239,867x = 229,813,097 × 229,813,097
  4. Step 4: Simplify right side
    148,239,867x = 52,814,059,552,731,408
  5. Step 5: Solve for x
    x = 52,814,059,552,731,408/148,239,867
  6. Step 6: Final answer
    x = 356,274,331.74

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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.