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Finding the Third Proportional to 282,218,150,314 and 431,425,792,154

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Solution

The third proportional to 282,218,150,314 and 431,425,792,154 is: 659,518,935,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,218,150,314 : 431,425,792,154 = 431,425,792,154 : x
  2. Step 2: Convert to fraction form
    282,218,150,314/431,425,792,154 = 431,425,792,154/x
  3. Step 3: Cross multiply
    282,218,150,314x = 431,425,792,154 × 431,425,792,154
  4. Step 4: Simplify right side
    282,218,150,314x = 186,128,214,135,706,400,849,920
  5. Step 5: Solve for x
    x = 186,128,214,135,706,400,849,920/282,218,150,314
  6. Step 6: Final answer
    x = 659,518,935,719.12

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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.