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Finding the Third Proportional to 46,243 and 101,047

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Solution

The third proportional to 46,243 and 101,047 is: 220,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,243 : 101,047 = 101,047 : x
  2. Step 2: Convert to fraction form
    46,243/101,047 = 101,047/x
  3. Step 3: Cross multiply
    46,243x = 101,047 × 101,047
  4. Step 4: Simplify right side
    46,243x = 10,210,496,209
  5. Step 5: Solve for x
    x = 10,210,496,209/46,243
  6. Step 6: Final answer
    x = 220,800.90

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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.