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Finding the Third Proportional to 46,262,212 and 97,732,616

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Solution

The third proportional to 46,262,212 and 97,732,616 is: 206,467,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,262,212 : 97,732,616 = 97,732,616 : x
  2. Step 2: Convert to fraction form
    46,262,212/97,732,616 = 97,732,616/x
  3. Step 3: Cross multiply
    46,262,212x = 97,732,616 × 97,732,616
  4. Step 4: Simplify right side
    46,262,212x = 9,551,664,230,203,456
  5. Step 5: Solve for x
    x = 9,551,664,230,203,456/46,262,212
  6. Step 6: Final answer
    x = 206,467,953.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.