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Finding the Third Proportional to 81,628,598 and 177,605,480

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Solution

The third proportional to 81,628,598 and 177,605,480 is: 386,429,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,598 : 177,605,480 = 177,605,480 : x
  2. Step 2: Convert to fraction form
    81,628,598/177,605,480 = 177,605,480/x
  3. Step 3: Cross multiply
    81,628,598x = 177,605,480 × 177,605,480
  4. Step 4: Simplify right side
    81,628,598x = 31,543,706,526,030,400
  5. Step 5: Solve for x
    x = 31,543,706,526,030,400/81,628,598
  6. Step 6: Final answer
    x = 386,429,600.64

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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.