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Finding the Third Proportional to 92,632.50 and 201,832.50

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Solution

The third proportional to 92,632.50 and 201,832.50 is: 439,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,632.50 : 201,832.50 = 201,832.50 : x
  2. Step 2: Convert to fraction form
    92,632.50/201,832.50 = 201,832.50/x
  3. Step 3: Cross multiply
    92,632.50x = 201,832.50 × 201,832.50
  4. Step 4: Simplify right side
    92,632.50x = 40,736,358,056.25
  5. Step 5: Solve for x
    x = 40,736,358,056.25/92,632.50
  6. Step 6: Final answer
    x = 439,763.13

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Why These Related Problems?

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