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Finding the Third Proportional to 237,632,092 and 378,119,364

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Solution

The third proportional to 237,632,092 and 378,119,364 is: 601,662,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,632,092 : 378,119,364 = 378,119,364 : x
  2. Step 2: Convert to fraction form
    237,632,092/378,119,364 = 378,119,364/x
  3. Step 3: Cross multiply
    237,632,092x = 378,119,364 × 378,119,364
  4. Step 4: Simplify right side
    237,632,092x = 142,974,253,431,764,496
  5. Step 5: Solve for x
    x = 142,974,253,431,764,496/237,632,092
  6. Step 6: Final answer
    x = 601,662,225.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.