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Finding the Third Proportional to 109,568,166,752 and 235,625,965,830.50

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Solution

The third proportional to 109,568,166,752 and 235,625,965,830.50 is: 506,712,829,276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,568,166,752 : 235,625,965,830.50 = 235,625,965,830.50 : x
  2. Step 2: Convert to fraction form
    109,568,166,752/235,625,965,830.50 = 235,625,965,830.50/x
  3. Step 3: Cross multiply
    109,568,166,752x = 235,625,965,830.50 × 235,625,965,830.50
  4. Step 4: Simplify right side
    109,568,166,752x = 55,519,595,773,555,957,039,104
  5. Step 5: Solve for x
    x = 55,519,595,773,555,957,039,104/109,568,166,752
  6. Step 6: Final answer
    x = 506,712,829,276.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.