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Finding the Third Proportional to 87,877,828.50 and 191,378,289

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Solution

The third proportional to 87,877,828.50 and 191,378,289 is: 416,779,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,877,828.50 : 191,378,289 = 191,378,289 : x
  2. Step 2: Convert to fraction form
    87,877,828.50/191,378,289 = 191,378,289/x
  3. Step 3: Cross multiply
    87,877,828.50x = 191,378,289 × 191,378,289
  4. Step 4: Simplify right side
    87,877,828.50x = 36,625,649,500,567,520
  5. Step 5: Solve for x
    x = 36,625,649,500,567,520/87,877,828.50
  6. Step 6: Final answer
    x = 416,779,182.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.