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Finding the Third Proportional to 102,206,531,706 and 223,647,773,252

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Solution

The third proportional to 102,206,531,706 and 223,647,773,252 is: 489,384,833,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206,531,706 : 223,647,773,252 = 223,647,773,252 : x
  2. Step 2: Convert to fraction form
    102,206,531,706/223,647,773,252 = 223,647,773,252/x
  3. Step 3: Cross multiply
    102,206,531,706x = 223,647,773,252 × 223,647,773,252
  4. Step 4: Simplify right side
    102,206,531,706x = 50,018,326,480,578,007,793,664
  5. Step 5: Solve for x
    x = 50,018,326,480,578,007,793,664/102,206,531,706
  6. Step 6: Final answer
    x = 489,384,833,294.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.