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Finding the Third Proportional to 46,038 and 99,321

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Solution

The third proportional to 46,038 and 99,321 is: 214,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,038 : 99,321 = 99,321 : x
  2. Step 2: Convert to fraction form
    46,038/99,321 = 99,321/x
  3. Step 3: Cross multiply
    46,038x = 99,321 × 99,321
  4. Step 4: Simplify right side
    46,038x = 9,864,661,041
  5. Step 5: Solve for x
    x = 9,864,661,041/46,038
  6. Step 6: Final answer
    x = 214,272.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.