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Finding the Third Proportional to 201,397,466 and 310,992,920

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Solution

The third proportional to 201,397,466 and 310,992,920 is: 480,227,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,466 : 310,992,920 = 310,992,920 : x
  2. Step 2: Convert to fraction form
    201,397,466/310,992,920 = 310,992,920/x
  3. Step 3: Cross multiply
    201,397,466x = 310,992,920 × 310,992,920
  4. Step 4: Simplify right side
    201,397,466x = 96,716,596,290,126,400
  5. Step 5: Solve for x
    x = 96,716,596,290,126,400/201,397,466
  6. Step 6: Final answer
    x = 480,227,473.62

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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.