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Finding the Third Proportional to 99,525,371,105 and 219,337,182,191

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Solution

The third proportional to 99,525,371,105 and 219,337,182,191 is: 483,382,266,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,525,371,105 : 219,337,182,191 = 219,337,182,191 : x
  2. Step 2: Convert to fraction form
    99,525,371,105/219,337,182,191 = 219,337,182,191/x
  3. Step 3: Cross multiply
    99,525,371,105x = 219,337,182,191 × 219,337,182,191
  4. Step 4: Simplify right side
    99,525,371,105x = 48,108,799,491,487,926,583,296
  5. Step 5: Solve for x
    x = 48,108,799,491,487,926,583,296/99,525,371,105
  6. Step 6: Final answer
    x = 483,382,266,826.54

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