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Finding the Third Proportional to 92,104,516 and 199,749,410

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Solution

The third proportional to 92,104,516 and 199,749,410 is: 433,201,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104,516 : 199,749,410 = 199,749,410 : x
  2. Step 2: Convert to fraction form
    92,104,516/199,749,410 = 199,749,410/x
  3. Step 3: Cross multiply
    92,104,516x = 199,749,410 × 199,749,410
  4. Step 4: Simplify right side
    92,104,516x = 39,899,826,795,348,096
  5. Step 5: Solve for x
    x = 39,899,826,795,348,096/92,104,516
  6. Step 6: Final answer
    x = 433,201,633.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.