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Finding the Third Proportional to 97,031.04 and 210,887.46

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Solution

The third proportional to 97,031.04 and 210,887.46 is: 458,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,031.04 : 210,887.46 = 210,887.46 : x
  2. Step 2: Convert to fraction form
    97,031.04/210,887.46 = 210,887.46/x
  3. Step 3: Cross multiply
    97,031.04x = 210,887.46 × 210,887.46
  4. Step 4: Simplify right side
    97,031.04x = 44,473,518,709.33
  5. Step 5: Solve for x
    x = 44,473,518,709.33/97,031.04
  6. Step 6: Final answer
    x = 458,343.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.