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Finding the Third Proportional to 298,863,649.69 and 468,786,399.75

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Solution

The third proportional to 298,863,649.69 and 468,786,399.75 is: 735,320,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,863,649.69 : 468,786,399.75 = 468,786,399.75 : x
  2. Step 2: Convert to fraction form
    298,863,649.69/468,786,399.75 = 468,786,399.75/x
  3. Step 3: Cross multiply
    298,863,649.69x = 468,786,399.75 × 468,786,399.75
  4. Step 4: Simplify right side
    298,863,649.69x = 219,760,688,590,566,816
  5. Step 5: Solve for x
    x = 219,760,688,590,566,816/298,863,649.69
  6. Step 6: Final answer
    x = 735,320,902.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.