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Finding the Third Proportional to 92,820,186 and 196,705,108

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Solution

The third proportional to 92,820,186 and 196,705,108 is: 416,858,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,820,186 : 196,705,108 = 196,705,108 : x
  2. Step 2: Convert to fraction form
    92,820,186/196,705,108 = 196,705,108/x
  3. Step 3: Cross multiply
    92,820,186x = 196,705,108 × 196,705,108
  4. Step 4: Simplify right side
    92,820,186x = 38,692,899,513,291,664
  5. Step 5: Solve for x
    x = 38,692,899,513,291,664/92,820,186
  6. Step 6: Final answer
    x = 416,858,672.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.