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Finding the Third Proportional to 170,112,177 and 371,013,507

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Solution

The third proportional to 170,112,177 and 371,013,507 is: 809,177,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,112,177 : 371,013,507 = 371,013,507 : x
  2. Step 2: Convert to fraction form
    170,112,177/371,013,507 = 371,013,507/x
  3. Step 3: Cross multiply
    170,112,177x = 371,013,507 × 371,013,507
  4. Step 4: Simplify right side
    170,112,177x = 137,651,022,376,439,056
  5. Step 5: Solve for x
    x = 137,651,022,376,439,056/170,112,177
  6. Step 6: Final answer
    x = 809,177,948.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.