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Finding the Third Proportional to 102,081,342 and 224,003,144

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Solution

The third proportional to 102,081,342 and 224,003,144 is: 491,543,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,081,342 : 224,003,144 = 224,003,144 : x
  2. Step 2: Convert to fraction form
    102,081,342/224,003,144 = 224,003,144/x
  3. Step 3: Cross multiply
    102,081,342x = 224,003,144 × 224,003,144
  4. Step 4: Simplify right side
    102,081,342x = 50,177,408,521,884,736
  5. Step 5: Solve for x
    x = 50,177,408,521,884,736/102,081,342
  6. Step 6: Final answer
    x = 491,543,386.27

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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.