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Finding the Third Proportional to 213,051,072 and 458,460,987

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Solution

The third proportional to 213,051,072 and 458,460,987 is: 986,554,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,051,072 : 458,460,987 = 458,460,987 : x
  2. Step 2: Convert to fraction form
    213,051,072/458,460,987 = 458,460,987/x
  3. Step 3: Cross multiply
    213,051,072x = 458,460,987 × 458,460,987
  4. Step 4: Simplify right side
    213,051,072x = 210,186,476,601,014,176
  5. Step 5: Solve for x
    x = 210,186,476,601,014,176/213,051,072
  6. Step 6: Final answer
    x = 986,554,419.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.