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Finding the Third Proportional to 92,091,120 and 198,117,804

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Solution

The third proportional to 92,091,120 and 198,117,804 is: 426,215,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,091,120 : 198,117,804 = 198,117,804 : x
  2. Step 2: Convert to fraction form
    92,091,120/198,117,804 = 198,117,804/x
  3. Step 3: Cross multiply
    92,091,120x = 198,117,804 × 198,117,804
  4. Step 4: Simplify right side
    92,091,120x = 39,250,664,261,782,416
  5. Step 5: Solve for x
    x = 39,250,664,261,782,416/92,091,120
  6. Step 6: Final answer
    x = 426,215,516.35

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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.