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Finding the Third Proportional to 208,617,472 and 453,136,160

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Solution

The third proportional to 208,617,472 and 453,136,160 is: 984,253,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,617,472 : 453,136,160 = 453,136,160 : x
  2. Step 2: Convert to fraction form
    208,617,472/453,136,160 = 453,136,160/x
  3. Step 3: Cross multiply
    208,617,472x = 453,136,160 × 453,136,160
  4. Step 4: Simplify right side
    208,617,472x = 205,332,379,499,545,600
  5. Step 5: Solve for x
    x = 205,332,379,499,545,600/208,617,472
  6. Step 6: Final answer
    x = 984,253,032.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.