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Finding the Third Proportional to 170,112,184 and 371,013,520

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Solution

The third proportional to 170,112,184 and 371,013,520 is: 809,177,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,112,184 : 371,013,520 = 371,013,520 : x
  2. Step 2: Convert to fraction form
    170,112,184/371,013,520 = 371,013,520/x
  3. Step 3: Cross multiply
    170,112,184x = 371,013,520 × 371,013,520
  4. Step 4: Simplify right side
    170,112,184x = 137,651,032,022,790,400
  5. Step 5: Solve for x
    x = 137,651,032,022,790,400/170,112,184
  6. Step 6: Final answer
    x = 809,177,971.77

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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.