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Finding the Third Proportional to 49,296,972 and 106,388,304

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Solution

The third proportional to 49,296,972 and 106,388,304 is: 229,597,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296,972 : 106,388,304 = 106,388,304 : x
  2. Step 2: Convert to fraction form
    49,296,972/106,388,304 = 106,388,304/x
  3. Step 3: Cross multiply
    49,296,972x = 106,388,304 × 106,388,304
  4. Step 4: Simplify right side
    49,296,972x = 11,318,471,227,996,416
  5. Step 5: Solve for x
    x = 11,318,471,227,996,416/49,296,972
  6. Step 6: Final answer
    x = 229,597,696.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.