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Finding the Third Proportional to 46,438.88 and 76,831.88

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Solution

The third proportional to 46,438.88 and 76,831.88 is: 127,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,438.88 : 76,831.88 = 76,831.88 : x
  2. Step 2: Convert to fraction form
    46,438.88/76,831.88 = 76,831.88/x
  3. Step 3: Cross multiply
    46,438.88x = 76,831.88 × 76,831.88
  4. Step 4: Simplify right side
    46,438.88x = 5,903,137,016.02
  5. Step 5: Solve for x
    x = 5,903,137,016.02/46,438.88
  6. Step 6: Final answer
    x = 127,116.28

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.