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Finding the Third Proportional to 247,233,783.50 and 514,813,875

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Solution

The third proportional to 247,233,783.50 and 514,813,875 is: 1,071,994,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,233,783.50 : 514,813,875 = 514,813,875 : x
  2. Step 2: Convert to fraction form
    247,233,783.50/514,813,875 = 514,813,875/x
  3. Step 3: Cross multiply
    247,233,783.50x = 514,813,875 × 514,813,875
  4. Step 4: Simplify right side
    247,233,783.50x = 265,033,325,892,515,616
  5. Step 5: Solve for x
    x = 265,033,325,892,515,616/247,233,783.50
  6. Step 6: Final answer
    x = 1,071,994,782.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.