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Finding the Third Proportional to 191,903,337 and 280,657,845

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Solution

The third proportional to 191,903,337 and 280,657,845 is: 410,460,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903,337 : 280,657,845 = 280,657,845 : x
  2. Step 2: Convert to fraction form
    191,903,337/280,657,845 = 280,657,845/x
  3. Step 3: Cross multiply
    191,903,337x = 280,657,845 × 280,657,845
  4. Step 4: Simplify right side
    191,903,337x = 78,768,825,960,044,032
  5. Step 5: Solve for x
    x = 78,768,825,960,044,032/191,903,337
  6. Step 6: Final answer
    x = 410,460,949.72

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Why These Related Problems?

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