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Finding the Third Proportional to 48,882,699 and 106,172,961.75

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Solution

The third proportional to 48,882,699 and 106,172,961.75 is: 230,607,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882,699 : 106,172,961.75 = 106,172,961.75 : x
  2. Step 2: Convert to fraction form
    48,882,699/106,172,961.75 = 106,172,961.75/x
  3. Step 3: Cross multiply
    48,882,699x = 106,172,961.75 × 106,172,961.75
  4. Step 4: Simplify right side
    48,882,699x = 11,272,697,806,766,964
  5. Step 5: Solve for x
    x = 11,272,697,806,766,964/48,882,699
  6. Step 6: Final answer
    x = 230,607,107.16

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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.