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Finding the Third Proportional to 237,821,707.97 and 363,840,585.33

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Solution

The third proportional to 237,821,707.97 and 363,840,585.33 is: 556,635,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,821,707.97 : 363,840,585.33 = 363,840,585.33 : x
  2. Step 2: Convert to fraction form
    237,821,707.97/363,840,585.33 = 363,840,585.33/x
  3. Step 3: Cross multiply
    237,821,707.97x = 363,840,585.33 × 363,840,585.33
  4. Step 4: Simplify right side
    237,821,707.97x = 132,379,971,531,908,960
  5. Step 5: Solve for x
    x = 132,379,971,531,908,960/237,821,707.97
  6. Step 6: Final answer
    x = 556,635,357.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.