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Finding the Third Proportional to 46,148.63 and 98,695.13

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Solution

The third proportional to 46,148.63 and 98,695.13 is: 211,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,148.63 : 98,695.13 = 98,695.13 : x
  2. Step 2: Convert to fraction form
    46,148.63/98,695.13 = 98,695.13/x
  3. Step 3: Cross multiply
    46,148.63x = 98,695.13 × 98,695.13
  4. Step 4: Simplify right side
    46,148.63x = 9,740,727,698.77
  5. Step 5: Solve for x
    x = 9,740,727,698.77/46,148.63
  6. Step 6: Final answer
    x = 211,072.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.