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Finding the Third Proportional to 196,152,129 and 416,214,018

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Solution

The third proportional to 196,152,129 and 416,214,018 is: 883,162,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,152,129 : 416,214,018 = 416,214,018 : x
  2. Step 2: Convert to fraction form
    196,152,129/416,214,018 = 416,214,018/x
  3. Step 3: Cross multiply
    196,152,129x = 416,214,018 × 416,214,018
  4. Step 4: Simplify right side
    196,152,129x = 173,234,108,779,704,320
  5. Step 5: Solve for x
    x = 173,234,108,779,704,320/196,152,129
  6. Step 6: Final answer
    x = 883,162,011.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.