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Finding the Third Proportional to 92,104,532 and 199,749,440

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Solution

The third proportional to 92,104,532 and 199,749,440 is: 433,201,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104,532 : 199,749,440 = 199,749,440 : x
  2. Step 2: Convert to fraction form
    92,104,532/199,749,440 = 199,749,440/x
  3. Step 3: Cross multiply
    92,104,532x = 199,749,440 × 199,749,440
  4. Step 4: Simplify right side
    92,104,532x = 39,899,838,780,313,600
  5. Step 5: Solve for x
    x = 39,899,838,780,313,600/92,104,532
  6. Step 6: Final answer
    x = 433,201,688.49

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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.