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Finding the Third Proportional to 174,977,730 and 382,910,148

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Solution

The third proportional to 174,977,730 and 382,910,148 is: 837,936,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,977,730 : 382,910,148 = 382,910,148 : x
  2. Step 2: Convert to fraction form
    174,977,730/382,910,148 = 382,910,148/x
  3. Step 3: Cross multiply
    174,977,730x = 382,910,148 × 382,910,148
  4. Step 4: Simplify right side
    174,977,730x = 146,620,181,441,381,888
  5. Step 5: Solve for x
    x = 146,620,181,441,381,888/174,977,730
  6. Step 6: Final answer
    x = 837,936,241.61

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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.