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Finding the Third Proportional to 303,231,834 and 465,801,188

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Solution

The third proportional to 303,231,834 and 465,801,188 is: 715,527,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,231,834 : 465,801,188 = 465,801,188 : x
  2. Step 2: Convert to fraction form
    303,231,834/465,801,188 = 465,801,188/x
  3. Step 3: Cross multiply
    303,231,834x = 465,801,188 × 465,801,188
  4. Step 4: Simplify right side
    303,231,834x = 216,970,746,742,211,328
  5. Step 5: Solve for x
    x = 216,970,746,742,211,328/303,231,834
  6. Step 6: Final answer
    x = 715,527,601.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.