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Finding the Third Proportional to 208,205,136 and 452,252,043

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Solution

The third proportional to 208,205,136 and 452,252,043 is: 982,357,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205,136 : 452,252,043 = 452,252,043 : x
  2. Step 2: Convert to fraction form
    208,205,136/452,252,043 = 452,252,043/x
  3. Step 3: Cross multiply
    208,205,136x = 452,252,043 × 452,252,043
  4. Step 4: Simplify right side
    208,205,136x = 204,531,910,397,673,856
  5. Step 5: Solve for x
    x = 204,531,910,397,673,856/208,205,136
  6. Step 6: Final answer
    x = 982,357,660.94

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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.