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Finding the Third Proportional to 290,160,198 and 613,070,316

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Solution

The third proportional to 290,160,198 and 613,070,316 is: 1,295,336,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,160,198 : 613,070,316 = 613,070,316 : x
  2. Step 2: Convert to fraction form
    290,160,198/613,070,316 = 613,070,316/x
  3. Step 3: Cross multiply
    290,160,198x = 613,070,316 × 613,070,316
  4. Step 4: Simplify right side
    290,160,198x = 375,855,212,360,339,840
  5. Step 5: Solve for x
    x = 375,855,212,360,339,840/290,160,198
  6. Step 6: Final answer
    x = 1,295,336,903.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.