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Finding the Third Proportional to 91,964 and 201,154

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Solution

The third proportional to 91,964 and 201,154 is: 439,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,964 : 201,154 = 201,154 : x
  2. Step 2: Convert to fraction form
    91,964/201,154 = 201,154/x
  3. Step 3: Cross multiply
    91,964x = 201,154 × 201,154
  4. Step 4: Simplify right side
    91,964x = 40,462,931,716
  5. Step 5: Solve for x
    x = 40,462,931,716/91,964
  6. Step 6: Final answer
    x = 439,986.64

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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.