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Finding the Third Proportional to 89,067,144 and 137,910,376

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Solution

The third proportional to 89,067,144 and 137,910,376 is: 213,538,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,067,144 : 137,910,376 = 137,910,376 : x
  2. Step 2: Convert to fraction form
    89,067,144/137,910,376 = 137,910,376/x
  3. Step 3: Cross multiply
    89,067,144x = 137,910,376 × 137,910,376
  4. Step 4: Simplify right side
    89,067,144x = 19,019,271,808,461,376
  5. Step 5: Solve for x
    x = 19,019,271,808,461,376/89,067,144
  6. Step 6: Final answer
    x = 213,538,583.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.