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Finding the Third Proportional to 189,598,917 and 406,071,654

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Solution

The third proportional to 189,598,917 and 406,071,654 is: 869,700,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,598,917 : 406,071,654 = 406,071,654 : x
  2. Step 2: Convert to fraction form
    189,598,917/406,071,654 = 406,071,654/x
  3. Step 3: Cross multiply
    189,598,917x = 406,071,654 × 406,071,654
  4. Step 4: Simplify right side
    189,598,917x = 164,894,188,182,295,712
  5. Step 5: Solve for x
    x = 164,894,188,182,295,712/189,598,917
  6. Step 6: Final answer
    x = 869,700,053.10

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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.