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Finding the Third Proportional to 130,538,150 and 195,807,225

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Solution

The third proportional to 130,538,150 and 195,807,225 is: 293,710,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,538,150 : 195,807,225 = 195,807,225 : x
  2. Step 2: Convert to fraction form
    130,538,150/195,807,225 = 195,807,225/x
  3. Step 3: Cross multiply
    130,538,150x = 195,807,225 × 195,807,225
  4. Step 4: Simplify right side
    130,538,150x = 38,340,469,362,200,624
  5. Step 5: Solve for x
    x = 38,340,469,362,200,624/130,538,150
  6. Step 6: Final answer
    x = 293,710,837.50

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Why These Related Problems?

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