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Finding the Third Proportional to 176,212,568 and 373,431,119

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Solution

The third proportional to 176,212,568 and 373,431,119 is: 791,378,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,212,568 : 373,431,119 = 373,431,119 : x
  2. Step 2: Convert to fraction form
    176,212,568/373,431,119 = 373,431,119/x
  3. Step 3: Cross multiply
    176,212,568x = 373,431,119 × 373,431,119
  4. Step 4: Simplify right side
    176,212,568x = 139,450,800,637,592,160
  5. Step 5: Solve for x
    x = 139,450,800,637,592,160/176,212,568
  6. Step 6: Final answer
    x = 791,378,289.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.