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Finding the Third Proportional to 46,308 and 99,816

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Solution

The third proportional to 46,308 and 99,816 is: 215,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,308 : 99,816 = 99,816 : x
  2. Step 2: Convert to fraction form
    46,308/99,816 = 99,816/x
  3. Step 3: Cross multiply
    46,308x = 99,816 × 99,816
  4. Step 4: Simplify right side
    46,308x = 9,963,233,856
  5. Step 5: Solve for x
    x = 9,963,233,856/46,308
  6. Step 6: Final answer
    x = 215,151.46

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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.