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Finding the Third Proportional to 98,607 and 150,367.50

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Solution

The third proportional to 98,607 and 150,367.50 is: 229,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,607 : 150,367.50 = 150,367.50 : x
  2. Step 2: Convert to fraction form
    98,607/150,367.50 = 150,367.50/x
  3. Step 3: Cross multiply
    98,607x = 150,367.50 × 150,367.50
  4. Step 4: Simplify right side
    98,607x = 22,610,385,056.25
  5. Step 5: Solve for x
    x = 22,610,385,056.25/98,607
  6. Step 6: Final answer
    x = 229,297.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.