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Finding the Third Proportional to 97,473,942 and 214,076,961

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Solution

The third proportional to 97,473,942 and 214,076,961 is: 470,166,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473,942 : 214,076,961 = 214,076,961 : x
  2. Step 2: Convert to fraction form
    97,473,942/214,076,961 = 214,076,961/x
  3. Step 3: Cross multiply
    97,473,942x = 214,076,961 × 214,076,961
  4. Step 4: Simplify right side
    97,473,942x = 45,828,945,230,995,520
  5. Step 5: Solve for x
    x = 45,828,945,230,995,520/97,473,942
  6. Step 6: Final answer
    x = 470,166,121.23

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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.