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Finding the Third Proportional to 119,835,217 and 258,182,318

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Solution

The third proportional to 119,835,217 and 258,182,318 is: 556,248,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,835,217 : 258,182,318 = 258,182,318 : x
  2. Step 2: Convert to fraction form
    119,835,217/258,182,318 = 258,182,318/x
  3. Step 3: Cross multiply
    119,835,217x = 258,182,318 × 258,182,318
  4. Step 4: Simplify right side
    119,835,217x = 66,658,109,327,853,120
  5. Step 5: Solve for x
    x = 66,658,109,327,853,120/119,835,217
  6. Step 6: Final answer
    x = 556,248,079.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.