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Finding the Third Proportional to 485,204,202 and 693,847,660.50

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Solution

The third proportional to 485,204,202 and 693,847,660.50 is: 992,210,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,204,202 : 693,847,660.50 = 693,847,660.50 : x
  2. Step 2: Convert to fraction form
    485,204,202/693,847,660.50 = 693,847,660.50/x
  3. Step 3: Cross multiply
    485,204,202x = 693,847,660.50 × 693,847,660.50
  4. Step 4: Simplify right side
    485,204,202x = 481,424,575,981,323,264
  5. Step 5: Solve for x
    x = 481,424,575,981,323,264/485,204,202
  6. Step 6: Final answer
    x = 992,210,236.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.