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Finding the Third Proportional to 121,481,972.44 and 195,625,988.16

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Solution

The third proportional to 121,481,972.44 and 195,625,988.16 is: 315,022,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,481,972.44 : 195,625,988.16 = 195,625,988.16 : x
  2. Step 2: Convert to fraction form
    121,481,972.44/195,625,988.16 = 195,625,988.16/x
  3. Step 3: Cross multiply
    121,481,972.44x = 195,625,988.16 × 195,625,988.16
  4. Step 4: Simplify right side
    121,481,972.44x = 38,269,527,242,109,264
  5. Step 5: Solve for x
    x = 38,269,527,242,109,264/121,481,972.44
  6. Step 6: Final answer
    x = 315,022,274.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.