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Finding the Third Proportional to 121,796,314.50 and 284,201,216.25

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Solution

The third proportional to 121,796,314.50 and 284,201,216.25 is: 663,159,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,796,314.50 : 284,201,216.25 = 284,201,216.25 : x
  2. Step 2: Convert to fraction form
    121,796,314.50/284,201,216.25 = 284,201,216.25/x
  3. Step 3: Cross multiply
    121,796,314.50x = 284,201,216.25 × 284,201,216.25
  4. Step 4: Simplify right side
    121,796,314.50x = 80,770,331,317,979,264
  5. Step 5: Solve for x
    x = 80,770,331,317,979,264/121,796,314.50
  6. Step 6: Final answer
    x = 663,159,075.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.