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Finding the Third Proportional to 191,008,024 and 412,514,384

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Solution

The third proportional to 191,008,024 and 412,514,384 is: 890,895,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,008,024 : 412,514,384 = 412,514,384 : x
  2. Step 2: Convert to fraction form
    191,008,024/412,514,384 = 412,514,384/x
  3. Step 3: Cross multiply
    191,008,024x = 412,514,384 × 412,514,384
  4. Step 4: Simplify right side
    191,008,024x = 170,168,117,006,899,456
  5. Step 5: Solve for x
    x = 170,168,117,006,899,456/191,008,024
  6. Step 6: Final answer
    x = 890,895,122.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.