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Finding the Third Proportional to 172,214,766 and 265,936,699

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Solution

The third proportional to 172,214,766 and 265,936,699 is: 410,663,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,214,766 : 265,936,699 = 265,936,699 : x
  2. Step 2: Convert to fraction form
    172,214,766/265,936,699 = 265,936,699/x
  3. Step 3: Cross multiply
    172,214,766x = 265,936,699 × 265,936,699
  4. Step 4: Simplify right side
    172,214,766x = 70,722,327,875,016,600
  5. Step 5: Solve for x
    x = 70,722,327,875,016,600/172,214,766
  6. Step 6: Final answer
    x = 410,663,554.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.