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Finding the Third Proportional to 201,397,557 and 310,993,062

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Solution

The third proportional to 201,397,557 and 310,993,062 is: 480,227,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,557 : 310,993,062 = 310,993,062 : x
  2. Step 2: Convert to fraction form
    201,397,557/310,993,062 = 310,993,062/x
  3. Step 3: Cross multiply
    201,397,557x = 310,993,062 × 310,993,062
  4. Step 4: Simplify right side
    201,397,557x = 96,716,684,612,135,840
  5. Step 5: Solve for x
    x = 96,716,684,612,135,840/201,397,557
  6. Step 6: Final answer
    x = 480,227,695.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.