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Finding the Third Proportional to 103,298.63 and 212,145.75

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Solution

The third proportional to 103,298.63 and 212,145.75 is: 435,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,298.63 : 212,145.75 = 212,145.75 : x
  2. Step 2: Convert to fraction form
    103,298.63/212,145.75 = 212,145.75/x
  3. Step 3: Cross multiply
    103,298.63x = 212,145.75 × 212,145.75
  4. Step 4: Simplify right side
    103,298.63x = 45,005,819,243.06
  5. Step 5: Solve for x
    x = 45,005,819,243.06/103,298.63
  6. Step 6: Final answer
    x = 435,686.53

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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.