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Finding the Third Proportional to 137,037,532 and 224,962,216

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Solution

The third proportional to 137,037,532 and 224,962,216 is: 369,300,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,037,532 : 224,962,216 = 224,962,216 : x
  2. Step 2: Convert to fraction form
    137,037,532/224,962,216 = 224,962,216/x
  3. Step 3: Cross multiply
    137,037,532x = 224,962,216 × 224,962,216
  4. Step 4: Simplify right side
    137,037,532x = 50,607,998,627,630,656
  5. Step 5: Solve for x
    x = 50,607,998,627,630,656/137,037,532
  6. Step 6: Final answer
    x = 369,300,277.73

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.