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Finding the Third Proportional to 204,694,054.03 and 292,714,749.35

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Solution

The third proportional to 204,694,054.03 and 292,714,749.35 is: 418,585,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,694,054.03 : 292,714,749.35 = 292,714,749.35 : x
  2. Step 2: Convert to fraction form
    204,694,054.03/292,714,749.35 = 292,714,749.35/x
  3. Step 3: Cross multiply
    204,694,054.03x = 292,714,749.35 × 292,714,749.35
  4. Step 4: Simplify right side
    204,694,054.03x = 85,681,924,487,940,736
  5. Step 5: Solve for x
    x = 85,681,924,487,940,736/204,694,054.03
  6. Step 6: Final answer
    x = 418,585,312.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.