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Finding the Third Proportional to 103,049,823 and 222,242,176.50

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Solution

The third proportional to 103,049,823 and 222,242,176.50 is: 479,298,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,049,823 : 222,242,176.50 = 222,242,176.50 : x
  2. Step 2: Convert to fraction form
    103,049,823/222,242,176.50 = 222,242,176.50/x
  3. Step 3: Cross multiply
    103,049,823x = 222,242,176.50 × 222,242,176.50
  4. Step 4: Simplify right side
    103,049,823x = 49,391,585,015,457,152
  5. Step 5: Solve for x
    x = 49,391,585,015,457,152/103,049,823
  6. Step 6: Final answer
    x = 479,298,106.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.