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Finding the Third Proportional to 99,525,369,828 and 219,337,179,612

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Solution

The third proportional to 99,525,369,828 and 219,337,179,612 is: 483,382,261,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,525,369,828 : 219,337,179,612 = 219,337,179,612 : x
  2. Step 2: Convert to fraction form
    99,525,369,828/219,337,179,612 = 219,337,179,612/x
  3. Step 3: Cross multiply
    99,525,369,828x = 219,337,179,612 × 219,337,179,612
  4. Step 4: Simplify right side
    99,525,369,828x = 48,108,798,360,146,749,161,472
  5. Step 5: Solve for x
    x = 48,108,798,360,146,749,161,472/99,525,369,828
  6. Step 6: Final answer
    x = 483,382,261,661.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.