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Finding the Third Proportional to 109,497,199.50 and 169,488,229.50

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Solution

The third proportional to 109,497,199.50 and 169,488,229.50 is: 262,346,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,497,199.50 : 169,488,229.50 = 169,488,229.50 : x
  2. Step 2: Convert to fraction form
    109,497,199.50/169,488,229.50 = 169,488,229.50/x
  3. Step 3: Cross multiply
    109,497,199.50x = 169,488,229.50 × 169,488,229.50
  4. Step 4: Simplify right side
    109,497,199.50x = 28,726,259,939,044,672
  5. Step 5: Solve for x
    x = 28,726,259,939,044,672/109,497,199.50
  6. Step 6: Final answer
    x = 262,346,983.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.