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Finding the Third Proportional to 99,480 and 154,264.50

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Solution

The third proportional to 99,480 and 154,264.50 is: 239,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,480 : 154,264.50 = 154,264.50 : x
  2. Step 2: Convert to fraction form
    99,480/154,264.50 = 154,264.50/x
  3. Step 3: Cross multiply
    99,480x = 154,264.50 × 154,264.50
  4. Step 4: Simplify right side
    99,480x = 23,797,535,960.25
  5. Step 5: Solve for x
    x = 23,797,535,960.25/99,480
  6. Step 6: Final answer
    x = 239,219.30

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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.