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Finding the Third Proportional to 71,263.86 and 154,931.80

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Solution

The third proportional to 71,263.86 and 154,931.80 is: 336,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,263.86 : 154,931.80 = 154,931.80 : x
  2. Step 2: Convert to fraction form
    71,263.86/154,931.80 = 154,931.80/x
  3. Step 3: Cross multiply
    71,263.86x = 154,931.80 × 154,931.80
  4. Step 4: Simplify right side
    71,263.86x = 24,003,862,893.32
  5. Step 5: Solve for x
    x = 24,003,862,893.32/71,263.86
  6. Step 6: Final answer
    x = 336,830.78

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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.