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Finding the Third Proportional to 84,422,762.63 and 126,137,147.81

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Solution

The third proportional to 84,422,762.63 and 126,137,147.81 is: 188,463,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,422,762.63 : 126,137,147.81 = 126,137,147.81 : x
  2. Step 2: Convert to fraction form
    84,422,762.63/126,137,147.81 = 126,137,147.81/x
  3. Step 3: Cross multiply
    84,422,762.63x = 126,137,147.81 × 126,137,147.81
  4. Step 4: Simplify right side
    84,422,762.63x = 15,910,580,058,272,474
  5. Step 5: Solve for x
    x = 15,910,580,058,272,474/84,422,762.63
  6. Step 6: Final answer
    x = 188,463,153.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.