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Finding the Third Proportional to 189,478,676 and 414,619,461

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Solution

The third proportional to 189,478,676 and 414,619,461 is: 907,275,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,478,676 : 414,619,461 = 414,619,461 : x
  2. Step 2: Convert to fraction form
    189,478,676/414,619,461 = 414,619,461/x
  3. Step 3: Cross multiply
    189,478,676x = 414,619,461 × 414,619,461
  4. Step 4: Simplify right side
    189,478,676x = 171,909,297,439,930,528
  5. Step 5: Solve for x
    x = 171,909,297,439,930,528/189,478,676
  6. Step 6: Final answer
    x = 907,275,167.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.