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Finding the Third Proportional to 133,207,415,229 and 287,645,782,209

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Solution

The third proportional to 133,207,415,229 and 287,645,782,209 is: 621,137,313,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,207,415,229 : 287,645,782,209 = 287,645,782,209 : x
  2. Step 2: Convert to fraction form
    133,207,415,229/287,645,782,209 = 287,645,782,209/x
  3. Step 3: Cross multiply
    133,207,415,229x = 287,645,782,209 × 287,645,782,209
  4. Step 4: Simplify right side
    133,207,415,229x = 82,740,096,022,627,468,967,936
  5. Step 5: Solve for x
    x = 82,740,096,022,627,468,967,936/133,207,415,229
  6. Step 6: Final answer
    x = 621,137,313,417.48

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Why These Related Problems?

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