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Finding the Third Proportional to 99,547.50 and 154,136.25

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Solution

The third proportional to 99,547.50 and 154,136.25 is: 238,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,547.50 : 154,136.25 = 154,136.25 : x
  2. Step 2: Convert to fraction form
    99,547.50/154,136.25 = 154,136.25/x
  3. Step 3: Cross multiply
    99,547.50x = 154,136.25 × 154,136.25
  4. Step 4: Simplify right side
    99,547.50x = 23,757,983,564.06
  5. Step 5: Solve for x
    x = 23,757,983,564.06/99,547.50
  6. Step 6: Final answer
    x = 238,659.77

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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.