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Finding the Third Proportional to 98,590.50 and 150,322.50

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Solution

The third proportional to 98,590.50 and 150,322.50 is: 229,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,590.50 : 150,322.50 = 150,322.50 : x
  2. Step 2: Convert to fraction form
    98,590.50/150,322.50 = 150,322.50/x
  3. Step 3: Cross multiply
    98,590.50x = 150,322.50 × 150,322.50
  4. Step 4: Simplify right side
    98,590.50x = 22,596,854,006.25
  5. Step 5: Solve for x
    x = 22,596,854,006.25/98,590.50
  6. Step 6: Final answer
    x = 229,199.10

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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.