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Finding the Third Proportional to 98,199 and 150,157

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Solution

The third proportional to 98,199 and 150,157 is: 229,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,199 : 150,157 = 150,157 : x
  2. Step 2: Convert to fraction form
    98,199/150,157 = 150,157/x
  3. Step 3: Cross multiply
    98,199x = 150,157 × 150,157
  4. Step 4: Simplify right side
    98,199x = 22,547,124,649
  5. Step 5: Solve for x
    x = 22,547,124,649/98,199
  6. Step 6: Final answer
    x = 229,606.46

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Why These Related Problems?

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