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Finding the Third Proportional to 44,335 and 97,283

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Solution

The third proportional to 44,335 and 97,283 is: 213,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,335 : 97,283 = 97,283 : x
  2. Step 2: Convert to fraction form
    44,335/97,283 = 97,283/x
  3. Step 3: Cross multiply
    44,335x = 97,283 × 97,283
  4. Step 4: Simplify right side
    44,335x = 9,463,982,089
  5. Step 5: Solve for x
    x = 9,463,982,089/44,335
  6. Step 6: Final answer
    x = 213,465.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.