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Finding the Third Proportional to 49,297,176 and 106,388,712

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Solution

The third proportional to 49,297,176 and 106,388,712 is: 229,598,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,297,176 : 106,388,712 = 106,388,712 : x
  2. Step 2: Convert to fraction form
    49,297,176/106,388,712 = 106,388,712/x
  3. Step 3: Cross multiply
    49,297,176x = 106,388,712 × 106,388,712
  4. Step 4: Simplify right side
    49,297,176x = 11,318,558,041,018,944
  5. Step 5: Solve for x
    x = 11,318,558,041,018,944/49,297,176
  6. Step 6: Final answer
    x = 229,598,507.65

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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.