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Finding the Third Proportional to 102,081,552 and 224,003,512

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Solution

The third proportional to 102,081,552 and 224,003,512 is: 491,543,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,081,552 : 224,003,512 = 224,003,512 : x
  2. Step 2: Convert to fraction form
    102,081,552/224,003,512 = 224,003,512/x
  3. Step 3: Cross multiply
    102,081,552x = 224,003,512 × 224,003,512
  4. Step 4: Simplify right side
    102,081,552x = 50,177,573,388,334,144
  5. Step 5: Solve for x
    x = 50,177,573,388,334,144/102,081,552
  6. Step 6: Final answer
    x = 491,543,990.13

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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.