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Finding the Third Proportional to 119,471,719 and 259,968,528

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Solution

The third proportional to 119,471,719 and 259,968,528 is: 565,687,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,471,719 : 259,968,528 = 259,968,528 : x
  2. Step 2: Convert to fraction form
    119,471,719/259,968,528 = 259,968,528/x
  3. Step 3: Cross multiply
    119,471,719x = 259,968,528 × 259,968,528
  4. Step 4: Simplify right side
    119,471,719x = 67,583,635,550,486,784
  5. Step 5: Solve for x
    x = 67,583,635,550,486,784/119,471,719
  6. Step 6: Final answer
    x = 565,687,311.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.