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Finding the Third Proportional to 85,402,947,708 and 177,874,645,172

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Solution

The third proportional to 85,402,947,708 and 177,874,645,172 is: 370,471,865,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402,947,708 : 177,874,645,172 = 177,874,645,172 : x
  2. Step 2: Convert to fraction form
    85,402,947,708/177,874,645,172 = 177,874,645,172/x
  3. Step 3: Cross multiply
    85,402,947,708x = 177,874,645,172 × 177,874,645,172
  4. Step 4: Simplify right side
    85,402,947,708x = 31,639,389,395,064,901,861,376
  5. Step 5: Solve for x
    x = 31,639,389,395,064,901,861,376/85,402,947,708
  6. Step 6: Final answer
    x = 370,471,865,950.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.