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Finding the Third Proportional to 108,093,420,025 and 232,454,527,970

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Solution

The third proportional to 108,093,420,025 and 232,454,527,970 is: 499,892,662,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,093,420,025 : 232,454,527,970 = 232,454,527,970 : x
  2. Step 2: Convert to fraction form
    108,093,420,025/232,454,527,970 = 232,454,527,970/x
  3. Step 3: Cross multiply
    108,093,420,025x = 232,454,527,970 × 232,454,527,970
  4. Step 4: Simplify right side
    108,093,420,025x = 54,035,107,573,755,514,191,872
  5. Step 5: Solve for x
    x = 54,035,107,573,755,514,191,872/108,093,420,025
  6. Step 6: Final answer
    x = 499,892,662,858.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.