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Finding the Third Proportional to 44,600 and 97,784

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Solution

The third proportional to 44,600 and 97,784 is: 214,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,600 : 97,784 = 97,784 : x
  2. Step 2: Convert to fraction form
    44,600/97,784 = 97,784/x
  3. Step 3: Cross multiply
    44,600x = 97,784 × 97,784
  4. Step 4: Simplify right side
    44,600x = 9,561,710,656
  5. Step 5: Solve for x
    x = 9,561,710,656/44,600
  6. Step 6: Final answer
    x = 214,388.13

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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.