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Finding the Third Proportional to 194,254,050 and 416,200,137

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Solution

The third proportional to 194,254,050 and 416,200,137 is: 891,732,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,254,050 : 416,200,137 = 416,200,137 : x
  2. Step 2: Convert to fraction form
    194,254,050/416,200,137 = 416,200,137/x
  3. Step 3: Cross multiply
    194,254,050x = 416,200,137 × 416,200,137
  4. Step 4: Simplify right side
    194,254,050x = 173,222,554,038,818,784
  5. Step 5: Solve for x
    x = 173,222,554,038,818,784/194,254,050
  6. Step 6: Final answer
    x = 891,732,007.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.