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Finding the Third Proportional to 97,473,966 and 214,077,014

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Solution

The third proportional to 97,473,966 and 214,077,014 is: 470,166,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473,966 : 214,077,014 = 214,077,014 : x
  2. Step 2: Convert to fraction form
    97,473,966/214,077,014 = 214,077,014/x
  3. Step 3: Cross multiply
    97,473,966x = 214,077,014 × 214,077,014
  4. Step 4: Simplify right side
    97,473,966x = 45,828,967,923,156,192
  5. Step 5: Solve for x
    x = 45,828,967,923,156,192/97,473,966
  6. Step 6: Final answer
    x = 470,166,238.27

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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.