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Finding the Third Proportional to 46,077,144 and 98,992,261

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Solution

The third proportional to 46,077,144 and 98,992,261 is: 212,675,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077,144 : 98,992,261 = 98,992,261 : x
  2. Step 2: Convert to fraction form
    46,077,144/98,992,261 = 98,992,261/x
  3. Step 3: Cross multiply
    46,077,144x = 98,992,261 × 98,992,261
  4. Step 4: Simplify right side
    46,077,144x = 9,799,467,737,892,120
  5. Step 5: Solve for x
    x = 9,799,467,737,892,120/46,077,144
  6. Step 6: Final answer
    x = 212,675,241.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.