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Finding the Third Proportional to 174,862,675.13 and 376,964,470.69

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Solution

The third proportional to 174,862,675.13 and 376,964,470.69 is: 812,650,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,862,675.13 : 376,964,470.69 = 376,964,470.69 : x
  2. Step 2: Convert to fraction form
    174,862,675.13/376,964,470.69 = 376,964,470.69/x
  3. Step 3: Cross multiply
    174,862,675.13x = 376,964,470.69 × 376,964,470.69
  4. Step 4: Simplify right side
    174,862,675.13x = 142,102,212,160,707,040
  5. Step 5: Solve for x
    x = 142,102,212,160,707,040/174,862,675.13
  6. Step 6: Final answer
    x = 812,650,338.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.