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Finding the Third Proportional to 214,617,899 and 464,890,139

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Solution

The third proportional to 214,617,899 and 464,890,139 is: 1,007,012,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,617,899 : 464,890,139 = 464,890,139 : x
  2. Step 2: Convert to fraction form
    214,617,899/464,890,139 = 464,890,139/x
  3. Step 3: Cross multiply
    214,617,899x = 464,890,139 × 464,890,139
  4. Step 4: Simplify right side
    214,617,899x = 216,122,841,339,439,328
  5. Step 5: Solve for x
    x = 216,122,841,339,439,328/214,617,899
  6. Step 6: Final answer
    x = 1,007,012,193.98

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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.