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Finding the Third Proportional to 98,200.69 and 150,158.81

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Solution

The third proportional to 98,200.69 and 150,158.81 is: 229,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,200.69 : 150,158.81 = 150,158.81 : x
  2. Step 2: Convert to fraction form
    98,200.69/150,158.81 = 150,158.81/x
  3. Step 3: Cross multiply
    98,200.69x = 150,158.81 × 150,158.81
  4. Step 4: Simplify right side
    98,200.69x = 22,547,668,971.41
  5. Step 5: Solve for x
    x = 22,547,668,971.41/98,200.69
  6. Step 6: Final answer
    x = 229,608.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.