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Finding the Third Proportional to 89,880,936 and 193,413,257

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Solution

The third proportional to 89,880,936 and 193,413,257 is: 416,202,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,880,936 : 193,413,257 = 193,413,257 : x
  2. Step 2: Convert to fraction form
    89,880,936/193,413,257 = 193,413,257/x
  3. Step 3: Cross multiply
    89,880,936x = 193,413,257 × 193,413,257
  4. Step 4: Simplify right side
    89,880,936x = 37,408,687,983,348,048
  5. Step 5: Solve for x
    x = 37,408,687,983,348,048/89,880,936
  6. Step 6: Final answer
    x = 416,202,697.13

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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.