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Finding the Third Proportional to 202,765,954.50 and 416,281,142

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Solution

The third proportional to 202,765,954.50 and 416,281,142 is: 854,630,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,765,954.50 : 416,281,142 = 416,281,142 : x
  2. Step 2: Convert to fraction form
    202,765,954.50/416,281,142 = 416,281,142/x
  3. Step 3: Cross multiply
    202,765,954.50x = 416,281,142 × 416,281,142
  4. Step 4: Simplify right side
    202,765,954.50x = 173,289,989,184,824,160
  5. Step 5: Solve for x
    x = 173,289,989,184,824,160/202,765,954.50
  6. Step 6: Final answer
    x = 854,630,599.17

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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.