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Finding the Third Proportional to 228,837,545.72 and 496,686,169.69

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Solution

The third proportional to 228,837,545.72 and 496,686,169.69 is: 1,078,044,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,837,545.72 : 496,686,169.69 = 496,686,169.69 : x
  2. Step 2: Convert to fraction form
    228,837,545.72/496,686,169.69 = 496,686,169.69/x
  3. Step 3: Cross multiply
    228,837,545.72x = 496,686,169.69 × 496,686,169.69
  4. Step 4: Simplify right side
    228,837,545.72x = 246,697,151,158,840,032
  5. Step 5: Solve for x
    x = 246,697,151,158,840,032/228,837,545.72
  6. Step 6: Final answer
    x = 1,078,044,909.04

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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.