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Finding the Third Proportional to 195,345,191 and 406,766,462

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Solution

The third proportional to 195,345,191 and 406,766,462 is: 847,008,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,345,191 : 406,766,462 = 406,766,462 : x
  2. Step 2: Convert to fraction form
    195,345,191/406,766,462 = 406,766,462/x
  3. Step 3: Cross multiply
    195,345,191x = 406,766,462 × 406,766,462
  4. Step 4: Simplify right side
    195,345,191x = 165,458,954,607,997,440
  5. Step 5: Solve for x
    x = 165,458,954,607,997,440/195,345,191
  6. Step 6: Final answer
    x = 847,008,077.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.