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Finding the Third Proportional to 133,970.63 and 207,348.19

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Solution

The third proportional to 133,970.63 and 207,348.19 is: 320,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,970.63 : 207,348.19 = 207,348.19 : x
  2. Step 2: Convert to fraction form
    133,970.63/207,348.19 = 207,348.19/x
  3. Step 3: Cross multiply
    133,970.63x = 207,348.19 × 207,348.19
  4. Step 4: Simplify right side
    133,970.63x = 42,993,270,859.54
  5. Step 5: Solve for x
    x = 42,993,270,859.54/133,970.63
  6. Step 6: Final answer
    x = 320,915.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.