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Finding the Third Proportional to 105,313.50 and 228,360.94

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Solution

The third proportional to 105,313.50 and 228,360.94 is: 495,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,313.50 : 228,360.94 = 228,360.94 : x
  2. Step 2: Convert to fraction form
    105,313.50/228,360.94 = 228,360.94/x
  3. Step 3: Cross multiply
    105,313.50x = 228,360.94 × 228,360.94
  4. Step 4: Simplify right side
    105,313.50x = 52,148,717,775.88
  5. Step 5: Solve for x
    x = 52,148,717,775.88/105,313.50
  6. Step 6: Final answer
    x = 495,176.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.