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Finding the Third Proportional to 49,169,426 and 106,216,948

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Solution

The third proportional to 49,169,426 and 106,216,948 is: 229,452,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,169,426 : 106,216,948 = 106,216,948 : x
  2. Step 2: Convert to fraction form
    49,169,426/106,216,948 = 106,216,948/x
  3. Step 3: Cross multiply
    49,169,426x = 106,216,948 × 106,216,948
  4. Step 4: Simplify right side
    49,169,426x = 11,282,040,042,434,704
  5. Step 5: Solve for x
    x = 11,282,040,042,434,704/49,169,426
  6. Step 6: Final answer
    x = 229,452,343.87

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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.