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Finding the Third Proportional to 189,164,744 and 266,269,564

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Solution

The third proportional to 189,164,744 and 266,269,564 is: 374,802,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,164,744 : 266,269,564 = 266,269,564 : x
  2. Step 2: Convert to fraction form
    189,164,744/266,269,564 = 266,269,564/x
  3. Step 3: Cross multiply
    189,164,744x = 266,269,564 × 266,269,564
  4. Step 4: Simplify right side
    189,164,744x = 70,899,480,712,750,096
  5. Step 5: Solve for x
    x = 70,899,480,712,750,096/189,164,744
  6. Step 6: Final answer
    x = 374,802,826.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.