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Finding the Third Proportional to 125,375,042.25 and 189,958,611.38

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Solution

The third proportional to 125,375,042.25 and 189,958,611.38 is: 287,810,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,375,042.25 : 189,958,611.38 = 189,958,611.38 : x
  2. Step 2: Convert to fraction form
    125,375,042.25/189,958,611.38 = 189,958,611.38/x
  3. Step 3: Cross multiply
    125,375,042.25x = 189,958,611.38 × 189,958,611.38
  4. Step 4: Simplify right side
    125,375,042.25x = 36,084,274,035,518,280
  5. Step 5: Solve for x
    x = 36,084,274,035,518,280/125,375,042.25
  6. Step 6: Final answer
    x = 287,810,663.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.