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Finding the Third Proportional to 153,147,660 and 231,544,941.75

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Solution

The third proportional to 153,147,660 and 231,544,941.75 is: 350,074,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,147,660 : 231,544,941.75 = 231,544,941.75 : x
  2. Step 2: Convert to fraction form
    153,147,660/231,544,941.75 = 231,544,941.75/x
  3. Step 3: Cross multiply
    153,147,660x = 231,544,941.75 × 231,544,941.75
  4. Step 4: Simplify right side
    153,147,660x = 53,613,060,050,010,896
  5. Step 5: Solve for x
    x = 53,613,060,050,010,896/153,147,660
  6. Step 6: Final answer
    x = 350,074,301.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.