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Finding the Third Proportional to 97,473,966 and 214,077,012

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Solution

The third proportional to 97,473,966 and 214,077,012 is: 470,166,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473,966 : 214,077,012 = 214,077,012 : x
  2. Step 2: Convert to fraction form
    97,473,966/214,077,012 = 214,077,012/x
  3. Step 3: Cross multiply
    97,473,966x = 214,077,012 × 214,077,012
  4. Step 4: Simplify right side
    97,473,966x = 45,828,967,066,848,144
  5. Step 5: Solve for x
    x = 45,828,967,066,848,144/97,473,966
  6. Step 6: Final answer
    x = 470,166,229.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.