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Finding the Third Proportional to 230,547,085.31 and 494,043,512.63

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Solution

The third proportional to 230,547,085.31 and 494,043,512.63 is: 1,058,694,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,547,085.31 : 494,043,512.63 = 494,043,512.63 : x
  2. Step 2: Convert to fraction form
    230,547,085.31/494,043,512.63 = 494,043,512.63/x
  3. Step 3: Cross multiply
    230,547,085.31x = 494,043,512.63 × 494,043,512.63
  4. Step 4: Simplify right side
    230,547,085.31x = 244,078,992,366,848,544
  5. Step 5: Solve for x
    x = 244,078,992,366,848,544/230,547,085.31
  6. Step 6: Final answer
    x = 1,058,694,765.26

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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.