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Finding the Third Proportional to 97,428 and 208,032

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Solution

The third proportional to 97,428 and 208,032 is: 444,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428 : 208,032 = 208,032 : x
  2. Step 2: Convert to fraction form
    97,428/208,032 = 208,032/x
  3. Step 3: Cross multiply
    97,428x = 208,032 × 208,032
  4. Step 4: Simplify right side
    97,428x = 43,277,313,024
  5. Step 5: Solve for x
    x = 43,277,313,024/97,428
  6. Step 6: Final answer
    x = 444,197.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.