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Finding the Third Proportional to 46,616 and 97,786

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Solution

The third proportional to 46,616 and 97,786 is: 205,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,616 : 97,786 = 97,786 : x
  2. Step 2: Convert to fraction form
    46,616/97,786 = 97,786/x
  3. Step 3: Cross multiply
    46,616x = 97,786 × 97,786
  4. Step 4: Simplify right side
    46,616x = 9,562,101,796
  5. Step 5: Solve for x
    x = 9,562,101,796/46,616
  6. Step 6: Final answer
    x = 205,124.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.