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Finding the Third Proportional to 88,888.50 and 146,815.50

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Solution

The third proportional to 88,888.50 and 146,815.50 is: 242,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,888.50 : 146,815.50 = 146,815.50 : x
  2. Step 2: Convert to fraction form
    88,888.50/146,815.50 = 146,815.50/x
  3. Step 3: Cross multiply
    88,888.50x = 146,815.50 × 146,815.50
  4. Step 4: Simplify right side
    88,888.50x = 21,554,791,040.25
  5. Step 5: Solve for x
    x = 21,554,791,040.25/88,888.50
  6. Step 6: Final answer
    x = 242,492.46

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.