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Finding the Third Proportional to 97,428,096 and 209,552,832

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Solution

The third proportional to 97,428,096 and 209,552,832 is: 450,715,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428,096 : 209,552,832 = 209,552,832 : x
  2. Step 2: Convert to fraction form
    97,428,096/209,552,832 = 209,552,832/x
  3. Step 3: Cross multiply
    97,428,096x = 209,552,832 × 209,552,832
  4. Step 4: Simplify right side
    97,428,096x = 43,912,389,399,220,224
  5. Step 5: Solve for x
    x = 43,912,389,399,220,224/97,428,096
  6. Step 6: Final answer
    x = 450,715,873.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.