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Finding the Third Proportional to 190,334,541,735 and 287,953,781,732

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Solution

The third proportional to 190,334,541,735 and 287,953,781,732 is: 435,640,213,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,334,541,735 : 287,953,781,732 = 287,953,781,732 : x
  2. Step 2: Convert to fraction form
    190,334,541,735/287,953,781,732 = 287,953,781,732/x
  3. Step 3: Cross multiply
    190,334,541,735x = 287,953,781,732 × 287,953,781,732
  4. Step 4: Simplify right side
    190,334,541,735x = 82,917,380,413,760,303,267,840
  5. Step 5: Solve for x
    x = 82,917,380,413,760,303,267,840/190,334,541,735
  6. Step 6: Final answer
    x = 435,640,213,583.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.