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Finding the Third Proportional to 161,717,829.75 and 264,042,686.25

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Solution

The third proportional to 161,717,829.75 and 264,042,686.25 is: 431,112,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,717,829.75 : 264,042,686.25 = 264,042,686.25 : x
  2. Step 2: Convert to fraction form
    161,717,829.75/264,042,686.25 = 264,042,686.25/x
  3. Step 3: Cross multiply
    161,717,829.75x = 264,042,686.25 × 264,042,686.25
  4. Step 4: Simplify right side
    161,717,829.75x = 69,718,540,162,115,936
  5. Step 5: Solve for x
    x = 69,718,540,162,115,936/161,717,829.75
  6. Step 6: Final answer
    x = 431,112,266.78

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.