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Finding the Third Proportional to 99,890 and 154,659

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Solution

The third proportional to 99,890 and 154,659 is: 239,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,890 : 154,659 = 154,659 : x
  2. Step 2: Convert to fraction form
    99,890/154,659 = 154,659/x
  3. Step 3: Cross multiply
    99,890x = 154,659 × 154,659
  4. Step 4: Simplify right side
    99,890x = 23,919,406,281
  5. Step 5: Solve for x
    x = 23,919,406,281/99,890
  6. Step 6: Final answer
    x = 239,457.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.