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Finding the Third Proportional to 133,967,673 and 287,319,114

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Solution

The third proportional to 133,967,673 and 287,319,114 is: 616,210,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,967,673 : 287,319,114 = 287,319,114 : x
  2. Step 2: Convert to fraction form
    133,967,673/287,319,114 = 287,319,114/x
  3. Step 3: Cross multiply
    133,967,673x = 287,319,114 × 287,319,114
  4. Step 4: Simplify right side
    133,967,673x = 82,552,273,269,744,992
  5. Step 5: Solve for x
    x = 82,552,273,269,744,992/133,967,673
  6. Step 6: Final answer
    x = 616,210,399.28

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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.