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Finding the Third Proportional to 201,397,324 and 310,992,704

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Solution

The third proportional to 201,397,324 and 310,992,704 is: 480,227,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,324 : 310,992,704 = 310,992,704 : x
  2. Step 2: Convert to fraction form
    201,397,324/310,992,704 = 310,992,704/x
  3. Step 3: Cross multiply
    201,397,324x = 310,992,704 × 310,992,704
  4. Step 4: Simplify right side
    201,397,324x = 96,716,461,941,231,616
  5. Step 5: Solve for x
    x = 96,716,461,941,231,616/201,397,324
  6. Step 6: Final answer
    x = 480,227,145.13

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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.