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Finding the Third Proportional to 84,048,786 and 184,040,796

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Solution

The third proportional to 84,048,786 and 184,040,796 is: 402,992,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,048,786 : 184,040,796 = 184,040,796 : x
  2. Step 2: Convert to fraction form
    84,048,786/184,040,796 = 184,040,796/x
  3. Step 3: Cross multiply
    84,048,786x = 184,040,796 × 184,040,796
  4. Step 4: Simplify right side
    84,048,786x = 33,871,014,592,313,616
  5. Step 5: Solve for x
    x = 33,871,014,592,313,616/84,048,786
  6. Step 6: Final answer
    x = 402,992,312.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.