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Finding the Third Proportional to 49,297,178 and 106,388,716

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Solution

The third proportional to 49,297,178 and 106,388,716 is: 229,598,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,297,178 : 106,388,716 = 106,388,716 : x
  2. Step 2: Convert to fraction form
    49,297,178/106,388,716 = 106,388,716/x
  3. Step 3: Cross multiply
    49,297,178x = 106,388,716 × 106,388,716
  4. Step 4: Simplify right side
    49,297,178x = 11,318,558,892,128,656
  5. Step 5: Solve for x
    x = 11,318,558,892,128,656/49,297,178
  6. Step 6: Final answer
    x = 229,598,515.60

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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.