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Finding the Third Proportional to 107,449,636,500 and 229,993,393,203

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Solution

The third proportional to 107,449,636,500 and 229,993,393,203 is: 492,295,391,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449,636,500 : 229,993,393,203 = 229,993,393,203 : x
  2. Step 2: Convert to fraction form
    107,449,636,500/229,993,393,203 = 229,993,393,203/x
  3. Step 3: Cross multiply
    107,449,636,500x = 229,993,393,203 × 229,993,393,203
  4. Step 4: Simplify right side
    107,449,636,500x = 52,896,960,917,029,768,921,088
  5. Step 5: Solve for x
    x = 52,896,960,917,029,768,921,088/107,449,636,500
  6. Step 6: Final answer
    x = 492,295,391,962.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.