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Finding the Third Proportional to 73,693 and 157,900.50

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Solution

The third proportional to 73,693 and 157,900.50 is: 338,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,693 : 157,900.50 = 157,900.50 : x
  2. Step 2: Convert to fraction form
    73,693/157,900.50 = 157,900.50/x
  3. Step 3: Cross multiply
    73,693x = 157,900.50 × 157,900.50
  4. Step 4: Simplify right side
    73,693x = 24,932,567,900.25
  5. Step 5: Solve for x
    x = 24,932,567,900.25/73,693
  6. Step 6: Final answer
    x = 338,330.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.