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Finding the Third Proportional to 97,433 and 210,409

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Solution

The third proportional to 97,433 and 210,409 is: 454,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,433 : 210,409 = 210,409 : x
  2. Step 2: Convert to fraction form
    97,433/210,409 = 210,409/x
  3. Step 3: Cross multiply
    97,433x = 210,409 × 210,409
  4. Step 4: Simplify right side
    97,433x = 44,271,947,281
  5. Step 5: Solve for x
    x = 44,271,947,281/97,433
  6. Step 6: Final answer
    x = 454,383.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.