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Finding the Third Proportional to 46,528 and 103,388

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Solution

The third proportional to 46,528 and 103,388 is: 229,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,528 : 103,388 = 103,388 : x
  2. Step 2: Convert to fraction form
    46,528/103,388 = 103,388/x
  3. Step 3: Cross multiply
    46,528x = 103,388 × 103,388
  4. Step 4: Simplify right side
    46,528x = 10,689,078,544
  5. Step 5: Solve for x
    x = 10,689,078,544/46,528
  6. Step 6: Final answer
    x = 229,734.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.