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Finding the Third Proportional to 233,233,413.75 and 510,394,747.50

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Solution

The third proportional to 233,233,413.75 and 510,394,747.50 is: 1,116,918,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,413.75 : 510,394,747.50 = 510,394,747.50 : x
  2. Step 2: Convert to fraction form
    233,233,413.75/510,394,747.50 = 510,394,747.50/x
  3. Step 3: Cross multiply
    233,233,413.75x = 510,394,747.50 × 510,394,747.50
  4. Step 4: Simplify right side
    233,233,413.75x = 260,502,798,275,588,768
  5. Step 5: Solve for x
    x = 260,502,798,275,588,768/233,233,413.75
  6. Step 6: Final answer
    x = 1,116,918,858.61

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Why These Related Problems?

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