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Finding the Third Proportional to 189,389.07 and 420,818.10

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Solution

The third proportional to 189,389.07 and 420,818.10 is: 935,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,389.07 : 420,818.10 = 420,818.10 : x
  2. Step 2: Convert to fraction form
    189,389.07/420,818.10 = 420,818.10/x
  3. Step 3: Cross multiply
    189,389.07x = 420,818.10 × 420,818.10
  4. Step 4: Simplify right side
    189,389.07x = 177,087,871,315.03
  5. Step 5: Solve for x
    x = 177,087,871,315.03/189,389.07
  6. Step 6: Final answer
    x = 935,047.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.