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Finding the Third Proportional to 96,207,496.50 and 210,049,858

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Solution

The third proportional to 96,207,496.50 and 210,049,858 is: 458,601,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,207,496.50 : 210,049,858 = 210,049,858 : x
  2. Step 2: Convert to fraction form
    96,207,496.50/210,049,858 = 210,049,858/x
  3. Step 3: Cross multiply
    96,207,496.50x = 210,049,858 × 210,049,858
  4. Step 4: Simplify right side
    96,207,496.50x = 44,120,942,845,820,160
  5. Step 5: Solve for x
    x = 44,120,942,845,820,160/96,207,496.50
  6. Step 6: Final answer
    x = 458,601,922.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.