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Finding the Third Proportional to 100,284.50 and 147,429.50

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Solution

The third proportional to 100,284.50 and 147,429.50 is: 216,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,284.50 : 147,429.50 = 147,429.50 : x
  2. Step 2: Convert to fraction form
    100,284.50/147,429.50 = 147,429.50/x
  3. Step 3: Cross multiply
    100,284.50x = 147,429.50 × 147,429.50
  4. Step 4: Simplify right side
    100,284.50x = 21,735,457,470.25
  5. Step 5: Solve for x
    x = 21,735,457,470.25/100,284.50
  6. Step 6: Final answer
    x = 216,737.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.