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Finding the Third Proportional to 96,207,749.25 and 210,056,796

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Solution

The third proportional to 96,207,749.25 and 210,056,796 is: 458,631,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,207,749.25 : 210,056,796 = 210,056,796 : x
  2. Step 2: Convert to fraction form
    96,207,749.25/210,056,796 = 210,056,796/x
  3. Step 3: Cross multiply
    96,207,749.25x = 210,056,796 × 210,056,796
  4. Step 4: Simplify right side
    96,207,749.25x = 44,123,857,545,785,616
  5. Step 5: Solve for x
    x = 44,123,857,545,785,616/96,207,749.25
  6. Step 6: Final answer
    x = 458,631,013.51

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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.