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Finding the Third Proportional to 92,104,512 and 199,749,402

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Solution

The third proportional to 92,104,512 and 199,749,402 is: 433,201,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104,512 : 199,749,402 = 199,749,402 : x
  2. Step 2: Convert to fraction form
    92,104,512/199,749,402 = 199,749,402/x
  3. Step 3: Cross multiply
    92,104,512x = 199,749,402 × 199,749,402
  4. Step 4: Simplify right side
    92,104,512x = 39,899,823,599,357,600
  5. Step 5: Solve for x
    x = 39,899,823,599,357,600/92,104,512
  6. Step 6: Final answer
    x = 433,201,617.74

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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.