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Finding the Third Proportional to 231,421,186.69 and 494,227,868.63

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Solution

The third proportional to 231,421,186.69 and 494,227,868.63 is: 1,055,483,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,421,186.69 : 494,227,868.63 = 494,227,868.63 : x
  2. Step 2: Convert to fraction form
    231,421,186.69/494,227,868.63 = 494,227,868.63/x
  3. Step 3: Cross multiply
    231,421,186.69x = 494,227,868.63 × 494,227,868.63
  4. Step 4: Simplify right side
    231,421,186.69x = 244,261,186,125,610,272
  5. Step 5: Solve for x
    x = 244,261,186,125,610,272/231,421,186.69
  6. Step 6: Final answer
    x = 1,055,483,249.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.