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Finding the Third Proportional to 97,304.63 and 210,601.88

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Solution

The third proportional to 97,304.63 and 210,601.88 is: 455,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,304.63 : 210,601.88 = 210,601.88 : x
  2. Step 2: Convert to fraction form
    97,304.63/210,601.88 = 210,601.88/x
  3. Step 3: Cross multiply
    97,304.63x = 210,601.88 × 210,601.88
  4. Step 4: Simplify right side
    97,304.63x = 44,353,149,753.52
  5. Step 5: Solve for x
    x = 44,353,149,753.52/97,304.63
  6. Step 6: Final answer
    x = 455,817.49

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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.