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Finding the Third Proportional to 102,197,417 and 224,180,462

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Solution

The third proportional to 102,197,417 and 224,180,462 is: 491,762,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197,417 : 224,180,462 = 224,180,462 : x
  2. Step 2: Convert to fraction form
    102,197,417/224,180,462 = 224,180,462/x
  3. Step 3: Cross multiply
    102,197,417x = 224,180,462 × 224,180,462
  4. Step 4: Simplify right side
    102,197,417x = 50,256,879,542,533,440
  5. Step 5: Solve for x
    x = 50,256,879,542,533,440/102,197,417
  6. Step 6: Final answer
    x = 491,762,717.86

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