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Finding the Third Proportional to 84,212,742 and 184,275,310

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Solution

The third proportional to 84,212,742 and 184,275,310 is: 403,233,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212,742 : 184,275,310 = 184,275,310 : x
  2. Step 2: Convert to fraction form
    84,212,742/184,275,310 = 184,275,310/x
  3. Step 3: Cross multiply
    84,212,742x = 184,275,310 × 184,275,310
  4. Step 4: Simplify right side
    84,212,742x = 33,957,389,875,596,100
  5. Step 5: Solve for x
    x = 33,957,389,875,596,100/84,212,742
  6. Step 6: Final answer
    x = 403,233,395.20

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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.