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Finding the Third Proportional to 48,666.66 and 105,594.47

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Solution

The third proportional to 48,666.66 and 105,594.47 is: 229,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,666.66 : 105,594.47 = 105,594.47 : x
  2. Step 2: Convert to fraction form
    48,666.66/105,594.47 = 105,594.47/x
  3. Step 3: Cross multiply
    48,666.66x = 105,594.47 × 105,594.47
  4. Step 4: Simplify right side
    48,666.66x = 11,150,191,830.59
  5. Step 5: Solve for x
    x = 11,150,191,830.59/48,666.66
  6. Step 6: Final answer
    x = 229,113.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.