Home / 177,578,283,001.50-419,052,966,230.25

Finding the Third Proportional to 177,578,283,001.50 and 419,052,966,230.25

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Solution

The third proportional to 177,578,283,001.50 and 419,052,966,230.25 is: 988,890,001,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,578,283,001.50 : 419,052,966,230.25 = 419,052,966,230.25 : x
  2. Step 2: Convert to fraction form
    177,578,283,001.50/419,052,966,230.25 = 419,052,966,230.25/x
  3. Step 3: Cross multiply
    177,578,283,001.50x = 419,052,966,230.25 × 419,052,966,230.25
  4. Step 4: Simplify right side
    177,578,283,001.50x = 175,605,388,506,371,048,079,360
  5. Step 5: Solve for x
    x = 175,605,388,506,371,048,079,360/177,578,283,001.50
  6. Step 6: Final answer
    x = 988,890,001,289.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.