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Finding the Third Proportional to 103,863,613.50 and 224,962,700.63

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Solution

The third proportional to 103,863,613.50 and 224,962,700.63 is: 487,256,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,863,613.50 : 224,962,700.63 = 224,962,700.63 : x
  2. Step 2: Convert to fraction form
    103,863,613.50/224,962,700.63 = 224,962,700.63/x
  3. Step 3: Cross multiply
    103,863,613.50x = 224,962,700.63 × 224,962,700.63
  4. Step 4: Simplify right side
    103,863,613.50x = 50,608,216,672,493,376
  5. Step 5: Solve for x
    x = 50,608,216,672,493,376/103,863,613.50
  6. Step 6: Final answer
    x = 487,256,460.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.