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Finding the Third Proportional to 49,296,984 and 106,388,328

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Solution

The third proportional to 49,296,984 and 106,388,328 is: 229,597,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296,984 : 106,388,328 = 106,388,328 : x
  2. Step 2: Convert to fraction form
    49,296,984/106,388,328 = 106,388,328/x
  3. Step 3: Cross multiply
    49,296,984x = 106,388,328 × 106,388,328
  4. Step 4: Simplify right side
    49,296,984x = 11,318,476,334,635,584
  5. Step 5: Solve for x
    x = 11,318,476,334,635,584/49,296,984
  6. Step 6: Final answer
    x = 229,597,744.45

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