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Finding the Third Proportional to 411,092,121 and 605,283,277.50

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Solution

The third proportional to 411,092,121 and 605,283,277.50 is: 891,206,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,092,121 : 605,283,277.50 = 605,283,277.50 : x
  2. Step 2: Convert to fraction form
    411,092,121/605,283,277.50 = 605,283,277.50/x
  3. Step 3: Cross multiply
    411,092,121x = 605,283,277.50 × 605,283,277.50
  4. Step 4: Simplify right side
    411,092,121x = 366,367,846,021,142,016
  5. Step 5: Solve for x
    x = 366,367,846,021,142,016/411,092,121
  6. Step 6: Final answer
    x = 891,206,197.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.