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Finding the Third Proportional to 92,148 and 201,820

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Solution

The third proportional to 92,148 and 201,820 is: 442,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,148 : 201,820 = 201,820 : x
  2. Step 2: Convert to fraction form
    92,148/201,820 = 201,820/x
  3. Step 3: Cross multiply
    92,148x = 201,820 × 201,820
  4. Step 4: Simplify right side
    92,148x = 40,731,312,400
  5. Step 5: Solve for x
    x = 40,731,312,400/92,148
  6. Step 6: Final answer
    x = 442,020.58

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Why These Related Problems?

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