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Finding the Third Proportional to 181,825,580 and 397,662,736

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Solution

The third proportional to 181,825,580 and 397,662,736 is: 869,710,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,825,580 : 397,662,736 = 397,662,736 : x
  2. Step 2: Convert to fraction form
    181,825,580/397,662,736 = 397,662,736/x
  3. Step 3: Cross multiply
    181,825,580x = 397,662,736 × 397,662,736
  4. Step 4: Simplify right side
    181,825,580x = 158,135,651,603,005,696
  5. Step 5: Solve for x
    x = 158,135,651,603,005,696/181,825,580
  6. Step 6: Final answer
    x = 869,710,695.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.