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Finding the Third Proportional to 228,837,550 and 496,686,178

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Solution

The third proportional to 228,837,550 and 496,686,178 is: 1,078,044,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,837,550 : 496,686,178 = 496,686,178 : x
  2. Step 2: Convert to fraction form
    228,837,550/496,686,178 = 496,686,178/x
  3. Step 3: Cross multiply
    228,837,550x = 496,686,178 × 496,686,178
  4. Step 4: Simplify right side
    228,837,550x = 246,697,159,416,247,680
  5. Step 5: Solve for x
    x = 246,697,159,416,247,680/228,837,550
  6. Step 6: Final answer
    x = 1,078,044,924.95

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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.