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Finding the Third Proportional to 102,466.13 and 210,035.25

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Solution

The third proportional to 102,466.13 and 210,035.25 is: 430,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,466.13 : 210,035.25 = 210,035.25 : x
  2. Step 2: Convert to fraction form
    102,466.13/210,035.25 = 210,035.25/x
  3. Step 3: Cross multiply
    102,466.13x = 210,035.25 × 210,035.25
  4. Step 4: Simplify right side
    102,466.13x = 44,114,806,242.56
  5. Step 5: Solve for x
    x = 44,114,806,242.56/102,466.13
  6. Step 6: Final answer
    x = 430,530.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.