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Finding the Third Proportional to 102,738,712.50 and 154,978,983

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Solution

The third proportional to 102,738,712.50 and 154,978,983 is: 233,782,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,738,712.50 : 154,978,983 = 154,978,983 : x
  2. Step 2: Convert to fraction form
    102,738,712.50/154,978,983 = 154,978,983/x
  3. Step 3: Cross multiply
    102,738,712.50x = 154,978,983 × 154,978,983
  4. Step 4: Simplify right side
    102,738,712.50x = 24,018,485,171,714,288
  5. Step 5: Solve for x
    x = 24,018,485,171,714,288/102,738,712.50
  6. Step 6: Final answer
    x = 233,782,228.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.