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Finding the Third Proportional to 231,922,998 and 497,045,052

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Solution

The third proportional to 231,922,998 and 497,045,052 is: 1,065,240,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,922,998 : 497,045,052 = 497,045,052 : x
  2. Step 2: Convert to fraction form
    231,922,998/497,045,052 = 497,045,052/x
  3. Step 3: Cross multiply
    231,922,998x = 497,045,052 × 497,045,052
  4. Step 4: Simplify right side
    231,922,998x = 247,053,783,717,682,688
  5. Step 5: Solve for x
    x = 247,053,783,717,682,688/231,922,998
  6. Step 6: Final answer
    x = 1,065,240,557.63

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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.