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Finding the Third Proportional to 67,021,615.41 and 144,629,039.81

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Solution

The third proportional to 67,021,615.41 and 144,629,039.81 is: 312,101,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,021,615.41 : 144,629,039.81 = 144,629,039.81 : x
  2. Step 2: Convert to fraction form
    67,021,615.41/144,629,039.81 = 144,629,039.81/x
  3. Step 3: Cross multiply
    67,021,615.41x = 144,629,039.81 × 144,629,039.81
  4. Step 4: Simplify right side
    67,021,615.41x = 20,917,559,157,085,712
  5. Step 5: Solve for x
    x = 20,917,559,157,085,712/67,021,615.41
  6. Step 6: Final answer
    x = 312,101,685.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.