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Finding the Third Proportional to 174,997,152 and 382,985,152

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Solution

The third proportional to 174,997,152 and 382,985,152 is: 838,171,507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,997,152 : 382,985,152 = 382,985,152 : x
  2. Step 2: Convert to fraction form
    174,997,152/382,985,152 = 382,985,152/x
  3. Step 3: Cross multiply
    174,997,152x = 382,985,152 × 382,985,152
  4. Step 4: Simplify right side
    174,997,152x = 146,677,626,652,463,104
  5. Step 5: Solve for x
    x = 146,677,626,652,463,104/174,997,152
  6. Step 6: Final answer
    x = 838,171,507.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.