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Finding the Third Proportional to 97,504.50 and 149,803.50

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Solution

The third proportional to 97,504.50 and 149,803.50 is: 230,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,504.50 : 149,803.50 = 149,803.50 : x
  2. Step 2: Convert to fraction form
    97,504.50/149,803.50 = 149,803.50/x
  3. Step 3: Cross multiply
    97,504.50x = 149,803.50 × 149,803.50
  4. Step 4: Simplify right side
    97,504.50x = 22,441,088,612.25
  5. Step 5: Solve for x
    x = 22,441,088,612.25/97,504.50
  6. Step 6: Final answer
    x = 230,154.39

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