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Finding the Third Proportional to 93,465.84 and 202,706.44

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Solution

The third proportional to 93,465.84 and 202,706.44 is: 439,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,465.84 : 202,706.44 = 202,706.44 : x
  2. Step 2: Convert to fraction form
    93,465.84/202,706.44 = 202,706.44/x
  3. Step 3: Cross multiply
    93,465.84x = 202,706.44 × 202,706.44
  4. Step 4: Simplify right side
    93,465.84x = 41,089,899,803.94
  5. Step 5: Solve for x
    x = 41,089,899,803.94/93,465.84
  6. Step 6: Final answer
    x = 439,624.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.