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Finding the Third Proportional to 349,190,196 and 485,521,056

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Solution

The third proportional to 349,190,196 and 485,521,056 is: 675,078,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,190,196 : 485,521,056 = 485,521,056 : x
  2. Step 2: Convert to fraction form
    349,190,196/485,521,056 = 485,521,056/x
  3. Step 3: Cross multiply
    349,190,196x = 485,521,056 × 485,521,056
  4. Step 4: Simplify right side
    349,190,196x = 235,730,695,819,355,136
  5. Step 5: Solve for x
    x = 235,730,695,819,355,136/349,190,196
  6. Step 6: Final answer
    x = 675,078,219.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.