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Finding the Third Proportional to 97,147.22 and 210,094.69

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Solution

The third proportional to 97,147.22 and 210,094.69 is: 454,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,147.22 : 210,094.69 = 210,094.69 : x
  2. Step 2: Convert to fraction form
    97,147.22/210,094.69 = 210,094.69/x
  3. Step 3: Cross multiply
    97,147.22x = 210,094.69 × 210,094.69
  4. Step 4: Simplify right side
    97,147.22x = 44,139,777,715.72
  5. Step 5: Solve for x
    x = 44,139,777,715.72/97,147.22
  6. Step 6: Final answer
    x = 454,359.66

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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.