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Finding the Third Proportional to 212,069.81 and 438,901.13

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Solution

The third proportional to 212,069.81 and 438,901.13 is: 908,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,069.81 : 438,901.13 = 438,901.13 : x
  2. Step 2: Convert to fraction form
    212,069.81/438,901.13 = 438,901.13/x
  3. Step 3: Cross multiply
    212,069.81x = 438,901.13 × 438,901.13
  4. Step 4: Simplify right side
    212,069.81x = 192,634,197,526.27
  5. Step 5: Solve for x
    x = 192,634,197,526.27/212,069.81
  6. Step 6: Final answer
    x = 908,352.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.