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Finding the Third Proportional to 46,914 and 103,428

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Solution

The third proportional to 46,914 and 103,428 is: 228,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,914 : 103,428 = 103,428 : x
  2. Step 2: Convert to fraction form
    46,914/103,428 = 103,428/x
  3. Step 3: Cross multiply
    46,914x = 103,428 × 103,428
  4. Step 4: Simplify right side
    46,914x = 10,697,351,184
  5. Step 5: Solve for x
    x = 10,697,351,184/46,914
  6. Step 6: Final answer
    x = 228,020.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.