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Finding the Third Proportional to 100,180,760.50 and 153,250,586.50

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Solution

The third proportional to 100,180,760.50 and 153,250,586.50 is: 234,433,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,180,760.50 : 153,250,586.50 = 153,250,586.50 : x
  2. Step 2: Convert to fraction form
    100,180,760.50/153,250,586.50 = 153,250,586.50/x
  3. Step 3: Cross multiply
    100,180,760.50x = 153,250,586.50 × 153,250,586.50
  4. Step 4: Simplify right side
    100,180,760.50x = 23,485,742,262,593,984
  5. Step 5: Solve for x
    x = 23,485,742,262,593,984/100,180,760.50
  6. Step 6: Final answer
    x = 234,433,659.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.