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Finding the Third Proportional to 76,880.81 and 166,397.63

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Solution

The third proportional to 76,880.81 and 166,397.63 is: 360,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,880.81 : 166,397.63 = 166,397.63 : x
  2. Step 2: Convert to fraction form
    76,880.81/166,397.63 = 166,397.63/x
  3. Step 3: Cross multiply
    76,880.81x = 166,397.63 × 166,397.63
  4. Step 4: Simplify right side
    76,880.81x = 27,688,169,605.64
  5. Step 5: Solve for x
    x = 27,688,169,605.64/76,880.81
  6. Step 6: Final answer
    x = 360,144.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.