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Finding the Third Proportional to 97,473,944 and 214,076,965

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Solution

The third proportional to 97,473,944 and 214,076,965 is: 470,166,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473,944 : 214,076,965 = 214,076,965 : x
  2. Step 2: Convert to fraction form
    97,473,944/214,076,965 = 214,076,965/x
  3. Step 3: Cross multiply
    97,473,944x = 214,076,965 × 214,076,965
  4. Step 4: Simplify right side
    97,473,944x = 45,828,946,943,611,224
  5. Step 5: Solve for x
    x = 45,828,946,943,611,224/97,473,944
  6. Step 6: Final answer
    x = 470,166,129.15

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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.