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Finding the Third Proportional to 214,617,901 and 464,890,143

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Solution

The third proportional to 214,617,901 and 464,890,143 is: 1,007,012,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,617,901 : 464,890,143 = 464,890,143 : x
  2. Step 2: Convert to fraction form
    214,617,901/464,890,143 = 464,890,143/x
  3. Step 3: Cross multiply
    214,617,901x = 464,890,143 × 464,890,143
  4. Step 4: Simplify right side
    214,617,901x = 216,122,845,058,560,448
  5. Step 5: Solve for x
    x = 216,122,845,058,560,448/214,617,901
  6. Step 6: Final answer
    x = 1,007,012,201.93

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Why These Related Problems?

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