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Finding the Third Proportional to 191,008,022 and 412,514,380

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Solution

The third proportional to 191,008,022 and 412,514,380 is: 890,895,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,008,022 : 412,514,380 = 412,514,380 : x
  2. Step 2: Convert to fraction form
    191,008,022/412,514,380 = 412,514,380/x
  3. Step 3: Cross multiply
    191,008,022x = 412,514,380 × 412,514,380
  4. Step 4: Simplify right side
    191,008,022x = 170,168,113,706,784,384
  5. Step 5: Solve for x
    x = 170,168,113,706,784,384/191,008,022
  6. Step 6: Final answer
    x = 890,895,114.90

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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.