Home / 198,257,827.50-278,697,773.25

Finding the Third Proportional to 198,257,827.50 and 278,697,773.25

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Solution

The third proportional to 198,257,827.50 and 278,697,773.25 is: 391,774,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,257,827.50 : 278,697,773.25 = 278,697,773.25 : x
  2. Step 2: Convert to fraction form
    198,257,827.50/278,697,773.25 = 278,697,773.25/x
  3. Step 3: Cross multiply
    198,257,827.50x = 278,697,773.25 × 278,697,773.25
  4. Step 4: Simplify right side
    198,257,827.50x = 77,672,448,814,508,416
  5. Step 5: Solve for x
    x = 77,672,448,814,508,416/198,257,827.50
  6. Step 6: Final answer
    x = 391,774,941.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.