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Finding the Third Proportional to 102,673.50 and 216,465

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Solution

The third proportional to 102,673.50 and 216,465 is: 456,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,673.50 : 216,465 = 216,465 : x
  2. Step 2: Convert to fraction form
    102,673.50/216,465 = 216,465/x
  3. Step 3: Cross multiply
    102,673.50x = 216,465 × 216,465
  4. Step 4: Simplify right side
    102,673.50x = 46,857,096,225
  5. Step 5: Solve for x
    x = 46,857,096,225/102,673.50
  6. Step 6: Final answer
    x = 456,369.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.