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Finding the Third Proportional to 121,976,289.97 and 185,823,008.40

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Solution

The third proportional to 121,976,289.97 and 185,823,008.40 is: 283,089,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,976,289.97 : 185,823,008.40 = 185,823,008.40 : x
  2. Step 2: Convert to fraction form
    121,976,289.97/185,823,008.40 = 185,823,008.40/x
  3. Step 3: Cross multiply
    121,976,289.97x = 185,823,008.40 × 185,823,008.40
  4. Step 4: Simplify right side
    121,976,289.97x = 34,530,190,451,696,120
  5. Step 5: Solve for x
    x = 34,530,190,451,696,120/121,976,289.97
  6. Step 6: Final answer
    x = 283,089,364.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.