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Finding the Third Proportional to 197,512,033.50 and 429,794,167.50

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Solution

The third proportional to 197,512,033.50 and 429,794,167.50 is: 935,249,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,512,033.50 : 429,794,167.50 = 429,794,167.50 : x
  2. Step 2: Convert to fraction form
    197,512,033.50/429,794,167.50 = 429,794,167.50/x
  3. Step 3: Cross multiply
    197,512,033.50x = 429,794,167.50 × 429,794,167.50
  4. Step 4: Simplify right side
    197,512,033.50x = 184,723,026,417,018,048
  5. Step 5: Solve for x
    x = 184,723,026,417,018,048/197,512,033.50
  6. Step 6: Final answer
    x = 935,249,478.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.