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Finding the Third Proportional to 237,149,055 and 513,879,138

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Solution

The third proportional to 237,149,055 and 513,879,138 is: 1,113,526,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,149,055 : 513,879,138 = 513,879,138 : x
  2. Step 2: Convert to fraction form
    237,149,055/513,879,138 = 513,879,138/x
  3. Step 3: Cross multiply
    237,149,055x = 513,879,138 × 513,879,138
  4. Step 4: Simplify right side
    237,149,055x = 264,071,768,471,623,040
  5. Step 5: Solve for x
    x = 264,071,768,471,623,040/237,149,055
  6. Step 6: Final answer
    x = 1,113,526,547.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.