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Finding the Third Proportional to 231,854,820.19 and 500,029,284.94

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Solution

The third proportional to 231,854,820.19 and 500,029,284.94 is: 1,078,387,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854,820.19 : 500,029,284.94 = 500,029,284.94 : x
  2. Step 2: Convert to fraction form
    231,854,820.19/500,029,284.94 = 500,029,284.94/x
  3. Step 3: Cross multiply
    231,854,820.19x = 500,029,284.94 × 500,029,284.94
  4. Step 4: Simplify right side
    231,854,820.19x = 250,029,285,795,107,552
  5. Step 5: Solve for x
    x = 250,029,285,795,107,552/231,854,820.19
  6. Step 6: Final answer
    x = 1,078,387,266.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.