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Finding the Third Proportional to 100,875.38 and 212,207.34

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Solution

The third proportional to 100,875.38 and 212,207.34 is: 446,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,875.38 : 212,207.34 = 212,207.34 : x
  2. Step 2: Convert to fraction form
    100,875.38/212,207.34 = 212,207.34/x
  3. Step 3: Cross multiply
    100,875.38x = 212,207.34 × 212,207.34
  4. Step 4: Simplify right side
    100,875.38x = 45,031,956,741.43
  5. Step 5: Solve for x
    x = 45,031,956,741.43/100,875.38
  6. Step 6: Final answer
    x = 446,411.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.