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Finding the Third Proportional to 84,873.75 and 186,068.63

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Solution

The third proportional to 84,873.75 and 186,068.63 is: 407,918.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,873.75 : 186,068.63 = 186,068.63 : x
  2. Step 2: Convert to fraction form
    84,873.75/186,068.63 = 186,068.63/x
  3. Step 3: Cross multiply
    84,873.75x = 186,068.63 × 186,068.63
  4. Step 4: Simplify right side
    84,873.75x = 34,621,533,209.39
  5. Step 5: Solve for x
    x = 34,621,533,209.39/84,873.75
  6. Step 6: Final answer
    x = 407,918.03

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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.