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Finding the Third Proportional to 41,669,192 and 91,406,224

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Solution

The third proportional to 41,669,192 and 91,406,224 is: 200,510,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,669,192 : 91,406,224 = 91,406,224 : x
  2. Step 2: Convert to fraction form
    41,669,192/91,406,224 = 91,406,224/x
  3. Step 3: Cross multiply
    41,669,192x = 91,406,224 × 91,406,224
  4. Step 4: Simplify right side
    41,669,192x = 8,355,097,785,938,176
  5. Step 5: Solve for x
    x = 8,355,097,785,938,176/41,669,192
  6. Step 6: Final answer
    x = 200,510,194.34

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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.