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Finding the Third Proportional to 86,862 and 190,348.50

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Solution

The third proportional to 86,862 and 190,348.50 is: 417,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,862 : 190,348.50 = 190,348.50 : x
  2. Step 2: Convert to fraction form
    86,862/190,348.50 = 190,348.50/x
  3. Step 3: Cross multiply
    86,862x = 190,348.50 × 190,348.50
  4. Step 4: Simplify right side
    86,862x = 36,232,551,452.25
  5. Step 5: Solve for x
    x = 36,232,551,452.25/86,862
  6. Step 6: Final answer
    x = 417,127.76

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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.