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Finding the Third Proportional to 133,823.81 and 197,038.41

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Solution

The third proportional to 133,823.81 and 197,038.41 is: 290,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823.81 : 197,038.41 = 197,038.41 : x
  2. Step 2: Convert to fraction form
    133,823.81/197,038.41 = 197,038.41/x
  3. Step 3: Cross multiply
    133,823.81x = 197,038.41 × 197,038.41
  4. Step 4: Simplify right side
    133,823.81x = 38,824,133,537.54
  5. Step 5: Solve for x
    x = 38,824,133,537.54/133,823.81
  6. Step 6: Final answer
    x = 290,113.79

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Why These Related Problems?

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