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Finding the Third Proportional to 46,034 and 99,313

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Solution

The third proportional to 46,034 and 99,313 is: 214,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,034 : 99,313 = 99,313 : x
  2. Step 2: Convert to fraction form
    46,034/99,313 = 99,313/x
  3. Step 3: Cross multiply
    46,034x = 99,313 × 99,313
  4. Step 4: Simplify right side
    46,034x = 9,863,071,969
  5. Step 5: Solve for x
    x = 9,863,071,969/46,034
  6. Step 6: Final answer
    x = 214,256.24

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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.