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Finding the Third Proportional to 148,269,742 and 308,811,564

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Solution

The third proportional to 148,269,742 and 308,811,564 is: 643,183,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,269,742 : 308,811,564 = 308,811,564 : x
  2. Step 2: Convert to fraction form
    148,269,742/308,811,564 = 308,811,564/x
  3. Step 3: Cross multiply
    148,269,742x = 308,811,564 × 308,811,564
  4. Step 4: Simplify right side
    148,269,742x = 95,364,582,060,126,096
  5. Step 5: Solve for x
    x = 95,364,582,060,126,096/148,269,742
  6. Step 6: Final answer
    x = 643,183,030.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.