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Finding the Third Proportional to 107,449,636,502 and 229,993,393,207

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Solution

The third proportional to 107,449,636,502 and 229,993,393,207 is: 492,295,391,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449,636,502 : 229,993,393,207 = 229,993,393,207 : x
  2. Step 2: Convert to fraction form
    107,449,636,502/229,993,393,207 = 229,993,393,207/x
  3. Step 3: Cross multiply
    107,449,636,502x = 229,993,393,207 × 229,993,393,207
  4. Step 4: Simplify right side
    107,449,636,502x = 52,896,960,918,869,717,811,200
  5. Step 5: Solve for x
    x = 52,896,960,918,869,717,811,200/107,449,636,502
  6. Step 6: Final answer
    x = 492,295,391,970.78

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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.