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Finding the Third Proportional to 55,758,548 and 120,782,443

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Solution

The third proportional to 55,758,548 and 120,782,443 is: 261,635,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758,548 : 120,782,443 = 120,782,443 : x
  2. Step 2: Convert to fraction form
    55,758,548/120,782,443 = 120,782,443/x
  3. Step 3: Cross multiply
    55,758,548x = 120,782,443 × 120,782,443
  4. Step 4: Simplify right side
    55,758,548x = 14,588,398,537,048,248
  5. Step 5: Solve for x
    x = 14,588,398,537,048,248/55,758,548
  6. Step 6: Final answer
    x = 261,635,194.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.