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Finding the Third Proportional to 201,397,498 and 310,992,967

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Solution

The third proportional to 201,397,498 and 310,992,967 is: 480,227,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,498 : 310,992,967 = 310,992,967 : x
  2. Step 2: Convert to fraction form
    201,397,498/310,992,967 = 310,992,967/x
  3. Step 3: Cross multiply
    201,397,498x = 310,992,967 × 310,992,967
  4. Step 4: Simplify right side
    201,397,498x = 96,716,625,523,463,088
  5. Step 5: Solve for x
    x = 96,716,625,523,463,088/201,397,498
  6. Step 6: Final answer
    x = 480,227,542.47

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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.