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Finding the Third Proportional to 191,903,338 and 280,657,858

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Solution

The third proportional to 191,903,338 and 280,657,858 is: 410,460,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903,338 : 280,657,858 = 280,657,858 : x
  2. Step 2: Convert to fraction form
    191,903,338/280,657,858 = 280,657,858/x
  3. Step 3: Cross multiply
    191,903,338x = 280,657,858 × 280,657,858
  4. Step 4: Simplify right side
    191,903,338x = 78,768,833,257,148,160
  5. Step 5: Solve for x
    x = 78,768,833,257,148,160/191,903,338
  6. Step 6: Final answer
    x = 410,460,985.61

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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.