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Finding the Third Proportional to 215,502,944 and 328,635,040

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Solution

The third proportional to 215,502,944 and 328,635,040 is: 501,157,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,502,944 : 328,635,040 = 328,635,040 : x
  2. Step 2: Convert to fraction form
    215,502,944/328,635,040 = 328,635,040/x
  3. Step 3: Cross multiply
    215,502,944x = 328,635,040 × 328,635,040
  4. Step 4: Simplify right side
    215,502,944x = 108,000,989,515,801,600
  5. Step 5: Solve for x
    x = 108,000,989,515,801,600/215,502,944
  6. Step 6: Final answer
    x = 501,157,838.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.