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Finding the Third Proportional to 81,197,541.50 and 189,467,473

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Solution

The third proportional to 81,197,541.50 and 189,467,473 is: 442,106,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,541.50 : 189,467,473 = 189,467,473 : x
  2. Step 2: Convert to fraction form
    81,197,541.50/189,467,473 = 189,467,473/x
  3. Step 3: Cross multiply
    81,197,541.50x = 189,467,473 × 189,467,473
  4. Step 4: Simplify right side
    81,197,541.50x = 35,897,923,325,005,728
  5. Step 5: Solve for x
    x = 35,897,923,325,005,728/81,197,541.50
  6. Step 6: Final answer
    x = 442,106,037.47

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.