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Finding the Third Proportional to 189,598,914 and 406,071,648

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Solution

The third proportional to 189,598,914 and 406,071,648 is: 869,700,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,598,914 : 406,071,648 = 406,071,648 : x
  2. Step 2: Convert to fraction form
    189,598,914/406,071,648 = 406,071,648/x
  3. Step 3: Cross multiply
    189,598,914x = 406,071,648 × 406,071,648
  4. Step 4: Simplify right side
    189,598,914x = 164,894,183,309,435,904
  5. Step 5: Solve for x
    x = 164,894,183,309,435,904/189,598,914
  6. Step 6: Final answer
    x = 869,700,041.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.