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Finding the Third Proportional to 185,418,234 and 403,088,339.25

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Solution

The third proportional to 185,418,234 and 403,088,339.25 is: 876,290,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,418,234 : 403,088,339.25 = 403,088,339.25 : x
  2. Step 2: Convert to fraction form
    185,418,234/403,088,339.25 = 403,088,339.25/x
  3. Step 3: Cross multiply
    185,418,234x = 403,088,339.25 × 403,088,339.25
  4. Step 4: Simplify right side
    185,418,234x = 162,480,209,239,323,104
  5. Step 5: Solve for x
    x = 162,480,209,239,323,104/185,418,234
  6. Step 6: Final answer
    x = 876,290,350.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.