Home / 282,218,150,310.18-431,425,792,147.50

Finding the Third Proportional to 282,218,150,310.18 and 431,425,792,147.50

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Solution

The third proportional to 282,218,150,310.18 and 431,425,792,147.50 is: 659,518,935,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,218,150,310.18 : 431,425,792,147.50 = 431,425,792,147.50 : x
  2. Step 2: Convert to fraction form
    282,218,150,310.18/431,425,792,147.50 = 431,425,792,147.50/x
  3. Step 3: Cross multiply
    282,218,150,310.18x = 431,425,792,147.50 × 431,425,792,147.50
  4. Step 4: Simplify right side
    282,218,150,310.18x = 186,128,214,130,097,878,204,416
  5. Step 5: Solve for x
    x = 186,128,214,130,097,878,204,416/282,218,150,310.18
  6. Step 6: Final answer
    x = 659,518,935,708.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.