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Finding the Third Proportional to 231,922,863 and 497,044,791

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Solution

The third proportional to 231,922,863 and 497,044,791 is: 1,065,240,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,922,863 : 497,044,791 = 497,044,791 : x
  2. Step 2: Convert to fraction form
    231,922,863/497,044,791 = 497,044,791/x
  3. Step 3: Cross multiply
    231,922,863x = 497,044,791 × 497,044,791
  4. Step 4: Simplify right side
    231,922,863x = 247,053,524,260,233,696
  5. Step 5: Solve for x
    x = 247,053,524,260,233,696/231,922,863
  6. Step 6: Final answer
    x = 1,065,240,058.98

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