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Finding the Third Proportional to 214,617,897 and 464,890,135

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Solution

The third proportional to 214,617,897 and 464,890,135 is: 1,007,012,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,617,897 : 464,890,135 = 464,890,135 : x
  2. Step 2: Convert to fraction form
    214,617,897/464,890,135 = 464,890,135/x
  3. Step 3: Cross multiply
    214,617,897x = 464,890,135 × 464,890,135
  4. Step 4: Simplify right side
    214,617,897x = 216,122,837,620,318,240
  5. Step 5: Solve for x
    x = 216,122,837,620,318,240/214,617,897
  6. Step 6: Final answer
    x = 1,007,012,186.04

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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.