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Finding the Third Proportional to 80,417,724 and 175,582,932

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Solution

The third proportional to 80,417,724 and 175,582,932 is: 383,365,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,417,724 : 175,582,932 = 175,582,932 : x
  2. Step 2: Convert to fraction form
    80,417,724/175,582,932 = 175,582,932/x
  3. Step 3: Cross multiply
    80,417,724x = 175,582,932 × 175,582,932
  4. Step 4: Simplify right side
    80,417,724x = 30,829,366,009,716,624
  5. Step 5: Solve for x
    x = 30,829,366,009,716,624/80,417,724
  6. Step 6: Final answer
    x = 383,365,313.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.