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Finding the Third Proportional to 194,427,116 and 458,963,570

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Solution

The third proportional to 194,427,116 and 458,963,570 is: 1,083,426,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,427,116 : 458,963,570 = 458,963,570 : x
  2. Step 2: Convert to fraction form
    194,427,116/458,963,570 = 458,963,570/x
  3. Step 3: Cross multiply
    194,427,116x = 458,963,570 × 458,963,570
  4. Step 4: Simplify right side
    194,427,116x = 210,647,558,587,144,896
  5. Step 5: Solve for x
    x = 210,647,558,587,144,896/194,427,116
  6. Step 6: Final answer
    x = 1,083,426,853.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.