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Finding the Third Proportional to 106,081,107.75 and 159,516,445.50

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Solution

The third proportional to 106,081,107.75 and 159,516,445.50 is: 239,868,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,081,107.75 : 159,516,445.50 = 159,516,445.50 : x
  2. Step 2: Convert to fraction form
    106,081,107.75/159,516,445.50 = 159,516,445.50/x
  3. Step 3: Cross multiply
    106,081,107.75x = 159,516,445.50 × 159,516,445.50
  4. Step 4: Simplify right side
    106,081,107.75x = 25,445,496,384,954,472
  5. Step 5: Solve for x
    x = 25,445,496,384,954,472/106,081,107.75
  6. Step 6: Final answer
    x = 239,868,313.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.