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Finding the Third Proportional to 92,820,156 and 196,705,029

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Solution

The third proportional to 92,820,156 and 196,705,029 is: 416,858,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,820,156 : 196,705,029 = 196,705,029 : x
  2. Step 2: Convert to fraction form
    92,820,156/196,705,029 = 196,705,029/x
  3. Step 3: Cross multiply
    92,820,156x = 196,705,029 × 196,705,029
  4. Step 4: Simplify right side
    92,820,156x = 38,692,868,433,890,840
  5. Step 5: Solve for x
    x = 38,692,868,433,890,840/92,820,156
  6. Step 6: Final answer
    x = 416,858,472.35

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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.