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Finding the Third Proportional to 66,188,940.94 and 144,295,615.13

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Solution

The third proportional to 66,188,940.94 and 144,295,615.13 is: 314,572,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,188,940.94 : 144,295,615.13 = 144,295,615.13 : x
  2. Step 2: Convert to fraction form
    66,188,940.94/144,295,615.13 = 144,295,615.13/x
  3. Step 3: Cross multiply
    66,188,940.94x = 144,295,615.13 × 144,295,615.13
  4. Step 4: Simplify right side
    66,188,940.94x = 20,821,224,544,302,128
  5. Step 5: Solve for x
    x = 20,821,224,544,302,128/66,188,940.94
  6. Step 6: Final answer
    x = 314,572,559.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.