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Finding the Third Proportional to 201,397,569 and 310,993,074

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Solution

The third proportional to 201,397,569 and 310,993,074 is: 480,227,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,569 : 310,993,074 = 310,993,074 : x
  2. Step 2: Convert to fraction form
    201,397,569/310,993,074 = 310,993,074/x
  3. Step 3: Cross multiply
    201,397,569x = 310,993,074 × 310,993,074
  4. Step 4: Simplify right side
    201,397,569x = 96,716,692,075,969,472
  5. Step 5: Solve for x
    x = 96,716,692,075,969,472/201,397,569
  6. Step 6: Final answer
    x = 480,227,703.62

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