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Finding the Third Proportional to 190,989.84 and 404,746.31

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Solution

The third proportional to 190,989.84 and 404,746.31 is: 857,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,989.84 : 404,746.31 = 404,746.31 : x
  2. Step 2: Convert to fraction form
    190,989.84/404,746.31 = 404,746.31/x
  3. Step 3: Cross multiply
    190,989.84x = 404,746.31 × 404,746.31
  4. Step 4: Simplify right side
    190,989.84x = 163,819,577,482.35
  5. Step 5: Solve for x
    x = 163,819,577,482.35/190,989.84
  6. Step 6: Final answer
    x = 857,739.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.