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Finding the Third Proportional to 140,550,174,531 and 214,118,468,815.50

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Solution

The third proportional to 140,550,174,531 and 214,118,468,815.50 is: 326,194,676,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,550,174,531 : 214,118,468,815.50 = 214,118,468,815.50 : x
  2. Step 2: Convert to fraction form
    140,550,174,531/214,118,468,815.50 = 214,118,468,815.50/x
  3. Step 3: Cross multiply
    140,550,174,531x = 214,118,468,815.50 × 214,118,468,815.50
  4. Step 4: Simplify right side
    140,550,174,531x = 45,846,718,687,894,245,998,592
  5. Step 5: Solve for x
    x = 45,846,718,687,894,245,998,592/140,550,174,531
  6. Step 6: Final answer
    x = 326,194,676,320.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.