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Finding the Third Proportional to 50,200.31 and 109,148.06

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Solution

The third proportional to 50,200.31 and 109,148.06 is: 237,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,200.31 : 109,148.06 = 109,148.06 : x
  2. Step 2: Convert to fraction form
    50,200.31/109,148.06 = 109,148.06/x
  3. Step 3: Cross multiply
    50,200.31x = 109,148.06 × 109,148.06
  4. Step 4: Simplify right side
    50,200.31x = 11,913,299,547.50
  5. Step 5: Solve for x
    x = 11,913,299,547.50/50,200.31
  6. Step 6: Final answer
    x = 237,315.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.