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Finding the Third Proportional to 81,197,541.75 and 189,467,475

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Solution

The third proportional to 81,197,541.75 and 189,467,475 is: 442,106,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197,541.75 : 189,467,475 = 189,467,475 : x
  2. Step 2: Convert to fraction form
    81,197,541.75/189,467,475 = 189,467,475/x
  3. Step 3: Cross multiply
    81,197,541.75x = 189,467,475 × 189,467,475
  4. Step 4: Simplify right side
    81,197,541.75x = 35,897,924,082,875,624
  5. Step 5: Solve for x
    x = 35,897,924,082,875,624/81,197,541.75
  6. Step 6: Final answer
    x = 442,106,045.44

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