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Finding the Third Proportional to 189,598,912 and 406,071,644

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Solution

The third proportional to 189,598,912 and 406,071,644 is: 869,700,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,598,912 : 406,071,644 = 406,071,644 : x
  2. Step 2: Convert to fraction form
    189,598,912/406,071,644 = 406,071,644/x
  3. Step 3: Cross multiply
    189,598,912x = 406,071,644 × 406,071,644
  4. Step 4: Simplify right side
    189,598,912x = 164,894,180,060,862,720
  5. Step 5: Solve for x
    x = 164,894,180,060,862,720/189,598,912
  6. Step 6: Final answer
    x = 869,700,033.20

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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.