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Finding the Third Proportional to 94,683.94 and 207,182.81

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Solution

The third proportional to 94,683.94 and 207,182.81 is: 453,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,683.94 : 207,182.81 = 207,182.81 : x
  2. Step 2: Convert to fraction form
    94,683.94/207,182.81 = 207,182.81/x
  3. Step 3: Cross multiply
    94,683.94x = 207,182.81 × 207,182.81
  4. Step 4: Simplify right side
    94,683.94x = 42,924,717,795.41
  5. Step 5: Solve for x
    x = 42,924,717,795.41/94,683.94
  6. Step 6: Final answer
    x = 453,347.41

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Why These Related Problems?

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