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Finding the Third Proportional to 49,169,438 and 106,216,972

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Solution

The third proportional to 49,169,438 and 106,216,972 is: 229,452,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,169,438 : 106,216,972 = 106,216,972 : x
  2. Step 2: Convert to fraction form
    49,169,438/106,216,972 = 106,216,972/x
  3. Step 3: Cross multiply
    49,169,438x = 106,216,972 × 106,216,972
  4. Step 4: Simplify right side
    49,169,438x = 11,282,045,140,848,784
  5. Step 5: Solve for x
    x = 11,282,045,140,848,784/49,169,438
  6. Step 6: Final answer
    x = 229,452,391.56

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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.