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Finding the Third Proportional to 214,617,894.50 and 464,890,131

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Solution

The third proportional to 214,617,894.50 and 464,890,131 is: 1,007,012,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,617,894.50 : 464,890,131 = 464,890,131 : x
  2. Step 2: Convert to fraction form
    214,617,894.50/464,890,131 = 464,890,131/x
  3. Step 3: Cross multiply
    214,617,894.50x = 464,890,131 × 464,890,131
  4. Step 4: Simplify right side
    214,617,894.50x = 216,122,833,901,197,152
  5. Step 5: Solve for x
    x = 216,122,833,901,197,152/214,617,894.50
  6. Step 6: Final answer
    x = 1,007,012,180.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.