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Finding the Third Proportional to 85,006,956,654 and 186,027,360,588

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Solution

The third proportional to 85,006,956,654 and 186,027,360,588 is: 407,098,198,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,006,956,654 : 186,027,360,588 = 186,027,360,588 : x
  2. Step 2: Convert to fraction form
    85,006,956,654/186,027,360,588 = 186,027,360,588/x
  3. Step 3: Cross multiply
    85,006,956,654x = 186,027,360,588 × 186,027,360,588
  4. Step 4: Simplify right side
    85,006,956,654x = 34,606,178,887,337,777,299,456
  5. Step 5: Solve for x
    x = 34,606,178,887,337,777,299,456/85,006,956,654
  6. Step 6: Final answer
    x = 407,098,198,188.58

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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.