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Finding the Third Proportional to 191,903,340 and 280,657,861

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Solution

The third proportional to 191,903,340 and 280,657,861 is: 410,460,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903,340 : 280,657,861 = 280,657,861 : x
  2. Step 2: Convert to fraction form
    191,903,340/280,657,861 = 280,657,861/x
  3. Step 3: Cross multiply
    191,903,340x = 280,657,861 × 280,657,861
  4. Step 4: Simplify right side
    191,903,340x = 78,768,834,941,095,328
  5. Step 5: Solve for x
    x = 78,768,834,941,095,328/191,903,340
  6. Step 6: Final answer
    x = 410,460,990.11

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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.