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Finding the Third Proportional to 43,148.63 and 92,294.13

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Solution

The third proportional to 43,148.63 and 92,294.13 is: 197,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,148.63 : 92,294.13 = 92,294.13 : x
  2. Step 2: Convert to fraction form
    43,148.63/92,294.13 = 92,294.13/x
  3. Step 3: Cross multiply
    43,148.63x = 92,294.13 × 92,294.13
  4. Step 4: Simplify right side
    43,148.63x = 8,518,205,509.52
  5. Step 5: Solve for x
    x = 8,518,205,509.52/43,148.63
  6. Step 6: Final answer
    x = 197,415.46

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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.