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Finding the Third Proportional to 72,709,683.75 and 159,101,239.50

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Solution

The third proportional to 72,709,683.75 and 159,101,239.50 is: 348,140,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709,683.75 : 159,101,239.50 = 159,101,239.50 : x
  2. Step 2: Convert to fraction form
    72,709,683.75/159,101,239.50 = 159,101,239.50/x
  3. Step 3: Cross multiply
    72,709,683.75x = 159,101,239.50 × 159,101,239.50
  4. Step 4: Simplify right side
    72,709,683.75x = 25,313,204,410,436,360
  5. Step 5: Solve for x
    x = 25,313,204,410,436,360/72,709,683.75
  6. Step 6: Final answer
    x = 348,140,757.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.