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Finding the Third Proportional to 99,469,318,014 and 216,366,712,182

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Solution

The third proportional to 99,469,318,014 and 216,366,712,182 is: 470,643,159,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,469,318,014 : 216,366,712,182 = 216,366,712,182 : x
  2. Step 2: Convert to fraction form
    99,469,318,014/216,366,712,182 = 216,366,712,182/x
  3. Step 3: Cross multiply
    99,469,318,014x = 216,366,712,182 × 216,366,712,182
  4. Step 4: Simplify right side
    99,469,318,014x = 46,814,554,140,448,428,916,736
  5. Step 5: Solve for x
    x = 46,814,554,140,448,428,916,736/99,469,318,014
  6. Step 6: Final answer
    x = 470,643,159,872.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.