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Finding the Third Proportional to 44,428 and 93,844

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Solution

The third proportional to 44,428 and 93,844 is: 198,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,428 : 93,844 = 93,844 : x
  2. Step 2: Convert to fraction form
    44,428/93,844 = 93,844/x
  3. Step 3: Cross multiply
    44,428x = 93,844 × 93,844
  4. Step 4: Simplify right side
    44,428x = 8,806,696,336
  5. Step 5: Solve for x
    x = 8,806,696,336/44,428
  6. Step 6: Final answer
    x = 198,224.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.