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Finding the Third Proportional to 44,999 and 97,768

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Solution

The third proportional to 44,999 and 97,768 is: 212,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,999 : 97,768 = 97,768 : x
  2. Step 2: Convert to fraction form
    44,999/97,768 = 97,768/x
  3. Step 3: Cross multiply
    44,999x = 97,768 × 97,768
  4. Step 4: Simplify right side
    44,999x = 9,558,581,824
  5. Step 5: Solve for x
    x = 9,558,581,824/44,999
  6. Step 6: Final answer
    x = 212,417.65

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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.