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Finding the Third Proportional to 47,534.34 and 103,280.06

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Solution

The third proportional to 47,534.34 and 103,280.06 is: 224,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534.34 : 103,280.06 = 103,280.06 : x
  2. Step 2: Convert to fraction form
    47,534.34/103,280.06 = 103,280.06/x
  3. Step 3: Cross multiply
    47,534.34x = 103,280.06 × 103,280.06
  4. Step 4: Simplify right side
    47,534.34x = 10,666,771,310.00
  5. Step 5: Solve for x
    x = 10,666,771,310.00/47,534.34
  6. Step 6: Final answer
    x = 224,401.36

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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.