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Finding the Third Proportional to 81,628,594.50 and 177,605,473

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Solution

The third proportional to 81,628,594.50 and 177,605,473 is: 386,429,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,594.50 : 177,605,473 = 177,605,473 : x
  2. Step 2: Convert to fraction form
    81,628,594.50/177,605,473 = 177,605,473/x
  3. Step 3: Cross multiply
    81,628,594.50x = 177,605,473 × 177,605,473
  4. Step 4: Simplify right side
    81,628,594.50x = 31,543,704,039,553,728
  5. Step 5: Solve for x
    x = 31,543,704,039,553,728/81,628,594.50
  6. Step 6: Final answer
    x = 386,429,586.75

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Why These Related Problems?

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