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Finding the Third Proportional to 102,081,574 and 224,003,558

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Solution

The third proportional to 102,081,574 and 224,003,558 is: 491,544,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,081,574 : 224,003,558 = 224,003,558 : x
  2. Step 2: Convert to fraction form
    102,081,574/224,003,558 = 224,003,558/x
  3. Step 3: Cross multiply
    102,081,574x = 224,003,558 × 224,003,558
  4. Step 4: Simplify right side
    102,081,574x = 50,177,593,996,659,360
  5. Step 5: Solve for x
    x = 50,177,593,996,659,360/102,081,574
  6. Step 6: Final answer
    x = 491,544,086.07

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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.