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Finding the Third Proportional to 208,205,138 and 452,252,047

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Solution

The third proportional to 208,205,138 and 452,252,047 is: 982,357,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205,138 : 452,252,047 = 452,252,047 : x
  2. Step 2: Convert to fraction form
    208,205,138/452,252,047 = 452,252,047/x
  3. Step 3: Cross multiply
    208,205,138x = 452,252,047 × 452,252,047
  4. Step 4: Simplify right side
    208,205,138x = 204,531,914,015,690,208
  5. Step 5: Solve for x
    x = 204,531,914,015,690,208/208,205,138
  6. Step 6: Final answer
    x = 982,357,668.89

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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.