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Finding the Third Proportional to 93,714 and 150,919.50

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Solution

The third proportional to 93,714 and 150,919.50 is: 243,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,714 : 150,919.50 = 150,919.50 : x
  2. Step 2: Convert to fraction form
    93,714/150,919.50 = 150,919.50/x
  3. Step 3: Cross multiply
    93,714x = 150,919.50 × 150,919.50
  4. Step 4: Simplify right side
    93,714x = 22,776,695,480.25
  5. Step 5: Solve for x
    x = 22,776,695,480.25/93,714
  6. Step 6: Final answer
    x = 243,044.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.