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Finding the Third Proportional to 155,765,047.50 and 332,378,441.50

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Solution

The third proportional to 155,765,047.50 and 332,378,441.50 is: 709,244,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,765,047.50 : 332,378,441.50 = 332,378,441.50 : x
  2. Step 2: Convert to fraction form
    155,765,047.50/332,378,441.50 = 332,378,441.50/x
  3. Step 3: Cross multiply
    155,765,047.50x = 332,378,441.50 × 332,378,441.50
  4. Step 4: Simplify right side
    155,765,047.50x = 110,475,428,373,968,928
  5. Step 5: Solve for x
    x = 110,475,428,373,968,928/155,765,047.50
  6. Step 6: Final answer
    x = 709,244,019.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.