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Finding the Third Proportional to 92,197.50 and 201,079.50

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Solution

The third proportional to 92,197.50 and 201,079.50 is: 438,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,197.50 : 201,079.50 = 201,079.50 : x
  2. Step 2: Convert to fraction form
    92,197.50/201,079.50 = 201,079.50/x
  3. Step 3: Cross multiply
    92,197.50x = 201,079.50 × 201,079.50
  4. Step 4: Simplify right side
    92,197.50x = 40,432,965,320.25
  5. Step 5: Solve for x
    x = 40,432,965,320.25/92,197.50
  6. Step 6: Final answer
    x = 438,547.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.