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Finding the Third Proportional to 84,088.13 and 183,943.41

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Solution

The third proportional to 84,088.13 and 183,943.41 is: 402,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,088.13 : 183,943.41 = 183,943.41 : x
  2. Step 2: Convert to fraction form
    84,088.13/183,943.41 = 183,943.41/x
  3. Step 3: Cross multiply
    84,088.13x = 183,943.41 × 183,943.41
  4. Step 4: Simplify right side
    84,088.13x = 33,835,176,702.85
  5. Step 5: Solve for x
    x = 33,835,176,702.85/84,088.13
  6. Step 6: Final answer
    x = 402,377.59

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