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Finding the Third Proportional to 290,160,200 and 613,070,320

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Solution

The third proportional to 290,160,200 and 613,070,320 is: 1,295,336,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,160,200 : 613,070,320 = 613,070,320 : x
  2. Step 2: Convert to fraction form
    290,160,200/613,070,320 = 613,070,320/x
  3. Step 3: Cross multiply
    290,160,200x = 613,070,320 × 613,070,320
  4. Step 4: Simplify right side
    290,160,200x = 375,855,217,264,902,400
  5. Step 5: Solve for x
    x = 375,855,217,264,902,400/290,160,200
  6. Step 6: Final answer
    x = 1,295,336,911.35

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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.