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Finding the Third Proportional to 255,862,126.69 and 374,197,704.75

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Solution

The third proportional to 255,862,126.69 and 374,197,704.75 is: 547,263,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,862,126.69 : 374,197,704.75 = 374,197,704.75 : x
  2. Step 2: Convert to fraction form
    255,862,126.69/374,197,704.75 = 374,197,704.75/x
  3. Step 3: Cross multiply
    255,862,126.69x = 374,197,704.75 × 374,197,704.75
  4. Step 4: Simplify right side
    255,862,126.69x = 140,023,922,240,168,176
  5. Step 5: Solve for x
    x = 140,023,922,240,168,176/255,862,126.69
  6. Step 6: Final answer
    x = 547,263,184.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.