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Finding the Third Proportional to 99,470,616 and 214,057,779

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Solution

The third proportional to 99,470,616 and 214,057,779 is: 460,645,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,616 : 214,057,779 = 214,057,779 : x
  2. Step 2: Convert to fraction form
    99,470,616/214,057,779 = 214,057,779/x
  3. Step 3: Cross multiply
    99,470,616x = 214,057,779 × 214,057,779
  4. Step 4: Simplify right side
    99,470,616x = 45,820,732,750,412,840
  5. Step 5: Solve for x
    x = 45,820,732,750,412,840/99,470,616
  6. Step 6: Final answer
    x = 460,645,913.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.