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Finding the Third Proportional to 189,400,566 and 406,997,010

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Solution

The third proportional to 189,400,566 and 406,997,010 is: 874,583,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,400,566 : 406,997,010 = 406,997,010 : x
  2. Step 2: Convert to fraction form
    189,400,566/406,997,010 = 406,997,010/x
  3. Step 3: Cross multiply
    189,400,566x = 406,997,010 × 406,997,010
  4. Step 4: Simplify right side
    189,400,566x = 165,646,566,148,940,096
  5. Step 5: Solve for x
    x = 165,646,566,148,940,096/189,400,566
  6. Step 6: Final answer
    x = 874,583,268.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.