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Finding the Third Proportional to 66,188,939.91 and 144,295,613.16

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Solution

The third proportional to 66,188,939.91 and 144,295,613.16 is: 314,572,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,188,939.91 : 144,295,613.16 = 144,295,613.16 : x
  2. Step 2: Convert to fraction form
    66,188,939.91/144,295,613.16 = 144,295,613.16/x
  3. Step 3: Cross multiply
    66,188,939.91x = 144,295,613.16 × 144,295,613.16
  4. Step 4: Simplify right side
    66,188,939.91x = 20,821,223,976,138,148
  5. Step 5: Solve for x
    x = 20,821,223,976,138,148/66,188,939.91
  6. Step 6: Final answer
    x = 314,572,555.56

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