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Finding the Third Proportional to 90,999 and 140,386.50

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Solution

The third proportional to 90,999 and 140,386.50 is: 216,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,999 : 140,386.50 = 140,386.50 : x
  2. Step 2: Convert to fraction form
    90,999/140,386.50 = 140,386.50/x
  3. Step 3: Cross multiply
    90,999x = 140,386.50 × 140,386.50
  4. Step 4: Simplify right side
    90,999x = 19,708,369,382.25
  5. Step 5: Solve for x
    x = 19,708,369,382.25/90,999
  6. Step 6: Final answer
    x = 216,577.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.