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Finding the Third Proportional to 102,081,362 and 224,003,188

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Solution

The third proportional to 102,081,362 and 224,003,188 is: 491,543,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,081,362 : 224,003,188 = 224,003,188 : x
  2. Step 2: Convert to fraction form
    102,081,362/224,003,188 = 224,003,188/x
  3. Step 3: Cross multiply
    102,081,362x = 224,003,188 × 224,003,188
  4. Step 4: Simplify right side
    102,081,362x = 50,177,428,234,163,344
  5. Step 5: Solve for x
    x = 50,177,428,234,163,344/102,081,362
  6. Step 6: Final answer
    x = 491,543,483.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.