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Finding the Third Proportional to 275,802,167,592 and 388,220,984,262

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Solution

The third proportional to 275,802,167,592 and 388,220,984,262 is: 546,462,465,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,802,167,592 : 388,220,984,262 = 388,220,984,262 : x
  2. Step 2: Convert to fraction form
    275,802,167,592/388,220,984,262 = 388,220,984,262/x
  3. Step 3: Cross multiply
    275,802,167,592x = 388,220,984,262 × 388,220,984,262
  4. Step 4: Simplify right side
    275,802,167,592x = 150,715,532,621,356,046,745,600
  5. Step 5: Solve for x
    x = 150,715,532,621,356,046,745,600/275,802,167,592
  6. Step 6: Final answer
    x = 546,462,465,966.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.