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Finding the Third Proportional to 202,766,233.50 and 416,281,617

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Solution

The third proportional to 202,766,233.50 and 416,281,617 is: 854,631,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,766,233.50 : 416,281,617 = 416,281,617 : x
  2. Step 2: Convert to fraction form
    202,766,233.50/416,281,617 = 416,281,617/x
  3. Step 3: Cross multiply
    202,766,233.50x = 416,281,617 × 416,281,617
  4. Step 4: Simplify right side
    202,766,233.50x = 173,290,384,652,134,688
  5. Step 5: Solve for x
    x = 173,290,384,652,134,688/202,766,233.50
  6. Step 6: Final answer
    x = 854,631,373.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.