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Finding the Third Proportional to 191,903,578 and 280,658,118

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Solution

The third proportional to 191,903,578 and 280,658,118 is: 410,461,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903,578 : 280,658,118 = 280,658,118 : x
  2. Step 2: Convert to fraction form
    191,903,578/280,658,118 = 280,658,118/x
  3. Step 3: Cross multiply
    191,903,578x = 280,658,118 × 280,658,118
  4. Step 4: Simplify right side
    191,903,578x = 78,768,979,199,301,920
  5. Step 5: Solve for x
    x = 78,768,979,199,301,920/191,903,578
  6. Step 6: Final answer
    x = 410,461,232.77

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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.