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Finding the Third Proportional to 96,062,540.63 and 206,714,558.25

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Solution

The third proportional to 96,062,540.63 and 206,714,558.25 is: 444,823,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,062,540.63 : 206,714,558.25 = 206,714,558.25 : x
  2. Step 2: Convert to fraction form
    96,062,540.63/206,714,558.25 = 206,714,558.25/x
  3. Step 3: Cross multiply
    96,062,540.63x = 206,714,558.25 × 206,714,558.25
  4. Step 4: Simplify right side
    96,062,540.63x = 42,730,908,592,492,640
  5. Step 5: Solve for x
    x = 42,730,908,592,492,640/96,062,540.63
  6. Step 6: Final answer
    x = 444,823,844.08

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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.