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Finding the Third Proportional to 153,147,552.50 and 231,544,770.50

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Solution

The third proportional to 153,147,552.50 and 231,544,770.50 is: 350,074,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,147,552.50 : 231,544,770.50 = 231,544,770.50 : x
  2. Step 2: Convert to fraction form
    153,147,552.50/231,544,770.50 = 231,544,770.50/x
  3. Step 3: Cross multiply
    153,147,552.50x = 231,544,770.50 × 231,544,770.50
  4. Step 4: Simplify right side
    153,147,552.50x = 53,612,980,745,897,672
  5. Step 5: Solve for x
    x = 53,612,980,745,897,672/153,147,552.50
  6. Step 6: Final answer
    x = 350,074,029.07

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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.