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Finding the Third Proportional to 45,284.25 and 99,316.50

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Solution

The third proportional to 45,284.25 and 99,316.50 is: 217,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284.25 : 99,316.50 = 99,316.50 : x
  2. Step 2: Convert to fraction form
    45,284.25/99,316.50 = 99,316.50/x
  3. Step 3: Cross multiply
    45,284.25x = 99,316.50 × 99,316.50
  4. Step 4: Simplify right side
    45,284.25x = 9,863,767,172.25
  5. Step 5: Solve for x
    x = 9,863,767,172.25/45,284.25
  6. Step 6: Final answer
    x = 217,818.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.