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Finding the Third Proportional to 234,237,550.50 and 514,436,413.50

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Solution

The third proportional to 234,237,550.50 and 514,436,413.50 is: 1,129,813,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,237,550.50 : 514,436,413.50 = 514,436,413.50 : x
  2. Step 2: Convert to fraction form
    234,237,550.50/514,436,413.50 = 514,436,413.50/x
  3. Step 3: Cross multiply
    234,237,550.50x = 514,436,413.50 × 514,436,413.50
  4. Step 4: Simplify right side
    234,237,550.50x = 264,644,823,534,742,976
  5. Step 5: Solve for x
    x = 264,644,823,534,742,976/234,237,550.50
  6. Step 6: Final answer
    x = 1,129,813,827.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.