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Finding the Third Proportional to 105,210.56 and 224,163.56

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Solution

The third proportional to 105,210.56 and 224,163.56 is: 477,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,210.56 : 224,163.56 = 224,163.56 : x
  2. Step 2: Convert to fraction form
    105,210.56/224,163.56 = 224,163.56/x
  3. Step 3: Cross multiply
    105,210.56x = 224,163.56 × 224,163.56
  4. Step 4: Simplify right side
    105,210.56x = 50,249,302,752.69
  5. Step 5: Solve for x
    x = 50,249,302,752.69/105,210.56
  6. Step 6: Final answer
    x = 477,607.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.