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Finding the Third Proportional to 214,620,106 and 464,894,804

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Solution

The third proportional to 214,620,106 and 464,894,804 is: 1,007,022,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,620,106 : 464,894,804 = 464,894,804 : x
  2. Step 2: Convert to fraction form
    214,620,106/464,894,804 = 464,894,804/x
  3. Step 3: Cross multiply
    214,620,106x = 464,894,804 × 464,894,804
  4. Step 4: Simplify right side
    214,620,106x = 216,127,178,786,198,400
  5. Step 5: Solve for x
    x = 216,127,178,786,198,400/214,620,106
  6. Step 6: Final answer
    x = 1,007,022,048.47

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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.