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Finding the Third Proportional to 97,406,274 and 202,872,744

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Solution

The third proportional to 97,406,274 and 202,872,744 is: 422,532,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,406,274 : 202,872,744 = 202,872,744 : x
  2. Step 2: Convert to fraction form
    97,406,274/202,872,744 = 202,872,744/x
  3. Step 3: Cross multiply
    97,406,274x = 202,872,744 × 202,872,744
  4. Step 4: Simplify right side
    97,406,274x = 41,157,350,258,089,536
  5. Step 5: Solve for x
    x = 41,157,350,258,089,536/97,406,274
  6. Step 6: Final answer
    x = 422,532,846.89

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.