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Finding the Third Proportional to 86,604.50 and 190,068.08

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Solution

The third proportional to 86,604.50 and 190,068.08 is: 417,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,604.50 : 190,068.08 = 190,068.08 : x
  2. Step 2: Convert to fraction form
    86,604.50/190,068.08 = 190,068.08/x
  3. Step 3: Cross multiply
    86,604.50x = 190,068.08 × 190,068.08
  4. Step 4: Simplify right side
    86,604.50x = 36,125,875,807.04
  5. Step 5: Solve for x
    x = 36,125,875,807.04/86,604.50
  6. Step 6: Final answer
    x = 417,136.22

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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.