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Finding the Third Proportional to 102,197,340 and 224,180,303.63

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Solution

The third proportional to 102,197,340 and 224,180,303.63 is: 491,762,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197,340 : 224,180,303.63 = 224,180,303.63 : x
  2. Step 2: Convert to fraction form
    102,197,340/224,180,303.63 = 224,180,303.63/x
  3. Step 3: Cross multiply
    102,197,340x = 224,180,303.63 × 224,180,303.63
  4. Step 4: Simplify right side
    102,197,340x = 50,256,808,533,397,192
  5. Step 5: Solve for x
    x = 50,256,808,533,397,192/102,197,340
  6. Step 6: Final answer
    x = 491,762,393.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.