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Finding the Third Proportional to 148,417,596 and 231,106,932

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Solution

The third proportional to 148,417,596 and 231,106,932 is: 359,865,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,417,596 : 231,106,932 = 231,106,932 : x
  2. Step 2: Convert to fraction form
    148,417,596/231,106,932 = 231,106,932/x
  3. Step 3: Cross multiply
    148,417,596x = 231,106,932 × 231,106,932
  4. Step 4: Simplify right side
    148,417,596x = 53,410,414,018,452,624
  5. Step 5: Solve for x
    x = 53,410,414,018,452,624/148,417,596
  6. Step 6: Final answer
    x = 359,865,780.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.