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Finding the Third Proportional to 97,010 and 208,948

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Solution

The third proportional to 97,010 and 208,948 is: 450,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,010 : 208,948 = 208,948 : x
  2. Step 2: Convert to fraction form
    97,010/208,948 = 208,948/x
  3. Step 3: Cross multiply
    97,010x = 208,948 × 208,948
  4. Step 4: Simplify right side
    97,010x = 43,659,266,704
  5. Step 5: Solve for x
    x = 43,659,266,704/97,010
  6. Step 6: Final answer
    x = 450,049.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.