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Finding the Third Proportional to 99,894,398,764 and 143,583,313,938

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Solution

The third proportional to 99,894,398,764 and 143,583,313,938 is: 206,379,619,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894,398,764 : 143,583,313,938 = 143,583,313,938 : x
  2. Step 2: Convert to fraction form
    99,894,398,764/143,583,313,938 = 143,583,313,938/x
  3. Step 3: Cross multiply
    99,894,398,764x = 143,583,313,938 × 143,583,313,938
  4. Step 4: Simplify right side
    99,894,398,764x = 20,616,168,041,418,263,101,440
  5. Step 5: Solve for x
    x = 20,616,168,041,418,263,101,440/99,894,398,764
  6. Step 6: Final answer
    x = 206,379,619,843.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.