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Finding the Third Proportional to 108,171,525 and 255,096,232.50

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Solution

The third proportional to 108,171,525 and 255,096,232.50 is: 601,582,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,171,525 : 255,096,232.50 = 255,096,232.50 : x
  2. Step 2: Convert to fraction form
    108,171,525/255,096,232.50 = 255,096,232.50/x
  3. Step 3: Cross multiply
    108,171,525x = 255,096,232.50 × 255,096,232.50
  4. Step 4: Simplify right side
    108,171,525x = 65,074,087,835,694,056
  5. Step 5: Solve for x
    x = 65,074,087,835,694,056/108,171,525
  6. Step 6: Final answer
    x = 601,582,420.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.