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Finding the Third Proportional to 237,149,056 and 513,879,140

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Solution

The third proportional to 237,149,056 and 513,879,140 is: 1,113,526,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,149,056 : 513,879,140 = 513,879,140 : x
  2. Step 2: Convert to fraction form
    237,149,056/513,879,140 = 513,879,140/x
  3. Step 3: Cross multiply
    237,149,056x = 513,879,140 × 513,879,140
  4. Step 4: Simplify right side
    237,149,056x = 264,071,770,527,139,584
  5. Step 5: Solve for x
    x = 264,071,770,527,139,584/237,149,056
  6. Step 6: Final answer
    x = 1,113,526,551.53

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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.