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Finding the Third Proportional to 107,340,446 and 235,768,216

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Solution

The third proportional to 107,340,446 and 235,768,216 is: 517,853,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,340,446 : 235,768,216 = 235,768,216 : x
  2. Step 2: Convert to fraction form
    107,340,446/235,768,216 = 235,768,216/x
  3. Step 3: Cross multiply
    107,340,446x = 235,768,216 × 235,768,216
  4. Step 4: Simplify right side
    107,340,446x = 55,586,651,675,822,656
  5. Step 5: Solve for x
    x = 55,586,651,675,822,656/107,340,446
  6. Step 6: Final answer
    x = 517,853,742.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.