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Finding the Third Proportional to 90,964,170.38 and 197,866,224

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Solution

The third proportional to 90,964,170.38 and 197,866,224 is: 430,400,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,964,170.38 : 197,866,224 = 197,866,224 : x
  2. Step 2: Convert to fraction form
    90,964,170.38/197,866,224 = 197,866,224/x
  3. Step 3: Cross multiply
    90,964,170.38x = 197,866,224 × 197,866,224
  4. Step 4: Simplify right side
    90,964,170.38x = 39,151,042,600,018,176
  5. Step 5: Solve for x
    x = 39,151,042,600,018,176/90,964,170.38
  6. Step 6: Final answer
    x = 430,400,699.95

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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.