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Finding the Third Proportional to 201,397,467 and 310,992,924

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Solution

The third proportional to 201,397,467 and 310,992,924 is: 480,227,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,467 : 310,992,924 = 310,992,924 : x
  2. Step 2: Convert to fraction form
    201,397,467/310,992,924 = 310,992,924/x
  3. Step 3: Cross multiply
    201,397,467x = 310,992,924 × 310,992,924
  4. Step 4: Simplify right side
    201,397,467x = 96,716,598,778,069,776
  5. Step 5: Solve for x
    x = 96,716,598,778,069,776/201,397,467
  6. Step 6: Final answer
    x = 480,227,483.59

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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.