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Finding the Third Proportional to 213,051,074 and 458,460,991

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Solution

The third proportional to 213,051,074 and 458,460,991 is: 986,554,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,051,074 : 458,460,991 = 458,460,991 : x
  2. Step 2: Convert to fraction form
    213,051,074/458,460,991 = 458,460,991/x
  3. Step 3: Cross multiply
    213,051,074x = 458,460,991 × 458,460,991
  4. Step 4: Simplify right side
    213,051,074x = 210,186,480,268,702,080
  5. Step 5: Solve for x
    x = 210,186,480,268,702,080/213,051,074
  6. Step 6: Final answer
    x = 986,554,427.17

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