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Finding the Third Proportional to 46,923,633 and 98,137,512

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Solution

The third proportional to 46,923,633 and 98,137,512 is: 205,247,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,923,633 : 98,137,512 = 98,137,512 : x
  2. Step 2: Convert to fraction form
    46,923,633/98,137,512 = 98,137,512/x
  3. Step 3: Cross multiply
    46,923,633x = 98,137,512 × 98,137,512
  4. Step 4: Simplify right side
    46,923,633x = 9,630,971,261,550,144
  5. Step 5: Solve for x
    x = 9,630,971,261,550,144/46,923,633
  6. Step 6: Final answer
    x = 205,247,774.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.