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Finding the Third Proportional to 146,353,204 and 289,005,032

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Solution

The third proportional to 146,353,204 and 289,005,032 is: 570,700,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,353,204 : 289,005,032 = 289,005,032 : x
  2. Step 2: Convert to fraction form
    146,353,204/289,005,032 = 289,005,032/x
  3. Step 3: Cross multiply
    146,353,204x = 289,005,032 × 289,005,032
  4. Step 4: Simplify right side
    146,353,204x = 83,523,908,521,321,024
  5. Step 5: Solve for x
    x = 83,523,908,521,321,024/146,353,204
  6. Step 6: Final answer
    x = 570,700,922.42

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.