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Finding the Third Proportional to 97,038 and 210,902

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Solution

The third proportional to 97,038 and 210,902 is: 458,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,038 : 210,902 = 210,902 : x
  2. Step 2: Convert to fraction form
    97,038/210,902 = 210,902/x
  3. Step 3: Cross multiply
    97,038x = 210,902 × 210,902
  4. Step 4: Simplify right side
    97,038x = 44,479,653,604
  5. Step 5: Solve for x
    x = 44,479,653,604/97,038
  6. Step 6: Final answer
    x = 458,373.56

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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.