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Finding the Third Proportional to 234,468,560 and 499,262,064

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Solution

The third proportional to 234,468,560 and 499,262,064 is: 1,063,096,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,468,560 : 499,262,064 = 499,262,064 : x
  2. Step 2: Convert to fraction form
    234,468,560/499,262,064 = 499,262,064/x
  3. Step 3: Cross multiply
    234,468,560x = 499,262,064 × 499,262,064
  4. Step 4: Simplify right side
    234,468,560x = 249,262,608,549,540,096
  5. Step 5: Solve for x
    x = 249,262,608,549,540,096/234,468,560
  6. Step 6: Final answer
    x = 1,063,096,086.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.