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Finding the Third Proportional to 190,825,797 and 415,442,076

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Solution

The third proportional to 190,825,797 and 415,442,076 is: 904,448,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,825,797 : 415,442,076 = 415,442,076 : x
  2. Step 2: Convert to fraction form
    190,825,797/415,442,076 = 415,442,076/x
  3. Step 3: Cross multiply
    190,825,797x = 415,442,076 × 415,442,076
  4. Step 4: Simplify right side
    190,825,797x = 172,592,118,511,189,760
  5. Step 5: Solve for x
    x = 172,592,118,511,189,760/190,825,797
  6. Step 6: Final answer
    x = 904,448,566.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.