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Finding the Third Proportional to 83,411.63 and 183,428.06

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Solution

The third proportional to 83,411.63 and 183,428.06 is: 403,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,411.63 : 183,428.06 = 183,428.06 : x
  2. Step 2: Convert to fraction form
    83,411.63/183,428.06 = 183,428.06/x
  3. Step 3: Cross multiply
    83,411.63x = 183,428.06 × 183,428.06
  4. Step 4: Simplify right side
    83,411.63x = 33,645,854,112.50
  5. Step 5: Solve for x
    x = 33,645,854,112.50/83,411.63
  6. Step 6: Final answer
    x = 403,371.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.