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Finding the Third Proportional to 106,289,320.50 and 159,433,980.75

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Solution

The third proportional to 106,289,320.50 and 159,433,980.75 is: 239,150,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,289,320.50 : 159,433,980.75 = 159,433,980.75 : x
  2. Step 2: Convert to fraction form
    106,289,320.50/159,433,980.75 = 159,433,980.75/x
  3. Step 3: Cross multiply
    106,289,320.50x = 159,433,980.75 × 159,433,980.75
  4. Step 4: Simplify right side
    106,289,320.50x = 25,419,194,217,791,372
  5. Step 5: Solve for x
    x = 25,419,194,217,791,372/106,289,320.50
  6. Step 6: Final answer
    x = 239,150,971.13

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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.