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Finding the Third Proportional to 48,882,703 and 106,172,970

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Solution

The third proportional to 48,882,703 and 106,172,970 is: 230,607,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882,703 : 106,172,970 = 106,172,970 : x
  2. Step 2: Convert to fraction form
    48,882,703/106,172,970 = 106,172,970/x
  3. Step 3: Cross multiply
    48,882,703x = 106,172,970 × 106,172,970
  4. Step 4: Simplify right side
    48,882,703x = 11,272,699,558,620,900
  5. Step 5: Solve for x
    x = 11,272,699,558,620,900/48,882,703
  6. Step 6: Final answer
    x = 230,607,124.13

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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.