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Finding the Third Proportional to 133,207,415,220 and 287,645,782,200

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Solution

The third proportional to 133,207,415,220 and 287,645,782,200 is: 621,137,313,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207,415,220 : 287,645,782,200 = 287,645,782,200 : x
  2. Step 2: Convert to fraction form
    133,207,415,220/287,645,782,200 = 287,645,782,200/x
  3. Step 3: Cross multiply
    133,207,415,220x = 287,645,782,200 × 287,645,782,200
  4. Step 4: Simplify right side
    133,207,415,220x = 82,740,096,017,449,835,560,960
  5. Step 5: Solve for x
    x = 82,740,096,017,449,835,560,960/133,207,415,220
  6. Step 6: Final answer
    x = 621,137,313,420.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.