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Finding the Third Proportional to 237,816,184 and 522,399,182

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Solution

The third proportional to 237,816,184 and 522,399,182 is: 1,147,528,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,816,184 : 522,399,182 = 522,399,182 : x
  2. Step 2: Convert to fraction form
    237,816,184/522,399,182 = 522,399,182/x
  3. Step 3: Cross multiply
    237,816,184x = 522,399,182 × 522,399,182
  4. Step 4: Simplify right side
    237,816,184x = 272,900,905,354,269,120
  5. Step 5: Solve for x
    x = 272,900,905,354,269,120/237,816,184
  6. Step 6: Final answer
    x = 1,147,528,737.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.