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Finding the Third Proportional to 100,904,414 and 157,942,967

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Solution

The third proportional to 100,904,414 and 157,942,967 is: 247,223,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904,414 : 157,942,967 = 157,942,967 : x
  2. Step 2: Convert to fraction form
    100,904,414/157,942,967 = 157,942,967/x
  3. Step 3: Cross multiply
    100,904,414x = 157,942,967 × 157,942,967
  4. Step 4: Simplify right side
    100,904,414x = 24,945,980,824,763,088
  5. Step 5: Solve for x
    x = 24,945,980,824,763,088/100,904,414
  6. Step 6: Final answer
    x = 247,223,880.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.