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Finding the Third Proportional to 106,218,446,802 and 216,703,679,190

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Solution

The third proportional to 106,218,446,802 and 216,703,679,190 is: 442,112,325,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,218,446,802 : 216,703,679,190 = 216,703,679,190 : x
  2. Step 2: Convert to fraction form
    106,218,446,802/216,703,679,190 = 216,703,679,190/x
  3. Step 3: Cross multiply
    106,218,446,802x = 216,703,679,190 × 216,703,679,190
  4. Step 4: Simplify right side
    106,218,446,802x = 46,960,484,574,482,434,883,584
  5. Step 5: Solve for x
    x = 46,960,484,574,482,434,883,584/106,218,446,802
  6. Step 6: Final answer
    x = 442,112,325,950.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.