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Finding the Third Proportional to 109,218,224 and 234,644,971

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Solution

The third proportional to 109,218,224 and 234,644,971 is: 504,112,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218,224 : 234,644,971 = 234,644,971 : x
  2. Step 2: Convert to fraction form
    109,218,224/234,644,971 = 234,644,971/x
  3. Step 3: Cross multiply
    109,218,224x = 234,644,971 × 234,644,971
  4. Step 4: Simplify right side
    109,218,224x = 55,058,262,415,590,840
  5. Step 5: Solve for x
    x = 55,058,262,415,590,840/109,218,224
  6. Step 6: Final answer
    x = 504,112,412.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.