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Finding the Third Proportional to 102,206,531,704 and 223,647,773,248

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Solution

The third proportional to 102,206,531,704 and 223,647,773,248 is: 489,384,833,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206,531,704 : 223,647,773,248 = 223,647,773,248 : x
  2. Step 2: Convert to fraction form
    102,206,531,704/223,647,773,248 = 223,647,773,248/x
  3. Step 3: Cross multiply
    102,206,531,704x = 223,647,773,248 × 223,647,773,248
  4. Step 4: Simplify right side
    102,206,531,704x = 50,018,326,478,788,826,759,168
  5. Step 5: Solve for x
    x = 50,018,326,478,788,826,759,168/102,206,531,704
  6. Step 6: Final answer
    x = 489,384,833,286.85

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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.