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Finding the Third Proportional to 100,973.25 and 212,409

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Solution

The third proportional to 100,973.25 and 212,409 is: 446,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,973.25 : 212,409 = 212,409 : x
  2. Step 2: Convert to fraction form
    100,973.25/212,409 = 212,409/x
  3. Step 3: Cross multiply
    100,973.25x = 212,409 × 212,409
  4. Step 4: Simplify right side
    100,973.25x = 45,117,583,281
  5. Step 5: Solve for x
    x = 45,117,583,281/100,973.25
  6. Step 6: Final answer
    x = 446,827.09

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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.