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Finding the Third Proportional to 147,786.75 and 216,437.63

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Solution

The third proportional to 147,786.75 and 216,437.63 is: 316,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,786.75 : 216,437.63 = 216,437.63 : x
  2. Step 2: Convert to fraction form
    147,786.75/216,437.63 = 216,437.63/x
  3. Step 3: Cross multiply
    147,786.75x = 216,437.63 × 216,437.63
  4. Step 4: Simplify right side
    147,786.75x = 46,845,245,515.64
  5. Step 5: Solve for x
    x = 46,845,245,515.64/147,786.75
  6. Step 6: Final answer
    x = 316,978.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.