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Finding the Third Proportional to 84,700.69 and 184,026.94

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Solution

The third proportional to 84,700.69 and 184,026.94 is: 399,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,700.69 : 184,026.94 = 184,026.94 : x
  2. Step 2: Convert to fraction form
    84,700.69/184,026.94 = 184,026.94/x
  3. Step 3: Cross multiply
    84,700.69x = 184,026.94 × 184,026.94
  4. Step 4: Simplify right side
    84,700.69x = 33,865,913,725.63
  5. Step 5: Solve for x
    x = 33,865,913,725.63/84,700.69
  6. Step 6: Final answer
    x = 399,830.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.