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Finding the Third Proportional to 43,970 and 97,784

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Solution

The third proportional to 43,970 and 97,784 is: 217,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,970 : 97,784 = 97,784 : x
  2. Step 2: Convert to fraction form
    43,970/97,784 = 97,784/x
  3. Step 3: Cross multiply
    43,970x = 97,784 × 97,784
  4. Step 4: Simplify right side
    43,970x = 9,561,710,656
  5. Step 5: Solve for x
    x = 9,561,710,656/43,970
  6. Step 6: Final answer
    x = 217,459.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.