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Finding the Third Proportional to 90,055.50 and 210,373.50

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Solution

The third proportional to 90,055.50 and 210,373.50 is: 491,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,055.50 : 210,373.50 = 210,373.50 : x
  2. Step 2: Convert to fraction form
    90,055.50/210,373.50 = 210,373.50/x
  3. Step 3: Cross multiply
    90,055.50x = 210,373.50 × 210,373.50
  4. Step 4: Simplify right side
    90,055.50x = 44,257,009,502.25
  5. Step 5: Solve for x
    x = 44,257,009,502.25/90,055.50
  6. Step 6: Final answer
    x = 491,441.49

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.