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Finding the Third Proportional to 75,481,804.13 and 165,095,971.88

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Solution

The third proportional to 75,481,804.13 and 165,095,971.88 is: 361,102,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,481,804.13 : 165,095,971.88 = 165,095,971.88 : x
  2. Step 2: Convert to fraction form
    75,481,804.13/165,095,971.88 = 165,095,971.88/x
  3. Step 3: Cross multiply
    75,481,804.13x = 165,095,971.88 × 165,095,971.88
  4. Step 4: Simplify right side
    75,481,804.13x = 27,256,679,929,350,792
  5. Step 5: Solve for x
    x = 27,256,679,929,350,792/75,481,804.13
  6. Step 6: Final answer
    x = 361,102,655.74

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