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Finding the Third Proportional to 138,221,802 and 298,611,036

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Solution

The third proportional to 138,221,802 and 298,611,036 is: 645,112,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,221,802 : 298,611,036 = 298,611,036 : x
  2. Step 2: Convert to fraction form
    138,221,802/298,611,036 = 298,611,036/x
  3. Step 3: Cross multiply
    138,221,802x = 298,611,036 × 298,611,036
  4. Step 4: Simplify right side
    138,221,802x = 89,168,550,820,993,296
  5. Step 5: Solve for x
    x = 89,168,550,820,993,296/138,221,802
  6. Step 6: Final answer
    x = 645,112,055.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.