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Finding the Third Proportional to 92,638,736 and 197,999,656

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Solution

The third proportional to 92,638,736 and 197,999,656 is: 423,190,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,638,736 : 197,999,656 = 197,999,656 : x
  2. Step 2: Convert to fraction form
    92,638,736/197,999,656 = 197,999,656/x
  3. Step 3: Cross multiply
    92,638,736x = 197,999,656 × 197,999,656
  4. Step 4: Simplify right side
    92,638,736x = 39,203,863,776,118,336
  5. Step 5: Solve for x
    x = 39,203,863,776,118,336/92,638,736
  6. Step 6: Final answer
    x = 423,190,832.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.