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Finding the Third Proportional to 144,809,360,938.50 and 311,750,100,021

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Solution

The third proportional to 144,809,360,938.50 and 311,750,100,021 is: 671,145,319,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,809,360,938.50 : 311,750,100,021 = 311,750,100,021 : x
  2. Step 2: Convert to fraction form
    144,809,360,938.50/311,750,100,021 = 311,750,100,021/x
  3. Step 3: Cross multiply
    144,809,360,938.50x = 311,750,100,021 × 311,750,100,021
  4. Step 4: Simplify right side
    144,809,360,938.50x = 97,188,124,863,103,504,482,304
  5. Step 5: Solve for x
    x = 97,188,124,863,103,504,482,304/144,809,360,938.50
  6. Step 6: Final answer
    x = 671,145,319,841.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.