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Finding the Third Proportional to 96,400,230 and 146,859,153

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Solution

The third proportional to 96,400,230 and 146,859,153 is: 223,729,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,400,230 : 146,859,153 = 146,859,153 : x
  2. Step 2: Convert to fraction form
    96,400,230/146,859,153 = 146,859,153/x
  3. Step 3: Cross multiply
    96,400,230x = 146,859,153 × 146,859,153
  4. Step 4: Simplify right side
    96,400,230x = 21,567,610,819,877,408
  5. Step 5: Solve for x
    x = 21,567,610,819,877,408/96,400,230
  6. Step 6: Final answer
    x = 223,729,868.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.