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Finding the Third Proportional to 46,276.88 and 98,392.78

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Solution

The third proportional to 46,276.88 and 98,392.78 is: 209,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,276.88 : 98,392.78 = 98,392.78 : x
  2. Step 2: Convert to fraction form
    46,276.88/98,392.78 = 98,392.78/x
  3. Step 3: Cross multiply
    46,276.88x = 98,392.78 × 98,392.78
  4. Step 4: Simplify right side
    46,276.88x = 9,681,139,402.11
  5. Step 5: Solve for x
    x = 9,681,139,402.11/46,276.88
  6. Step 6: Final answer
    x = 209,200.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.