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Finding the Third Proportional to 230,340,825 and 353,209,981.50

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Solution

The third proportional to 230,340,825 and 353,209,981.50 is: 541,620,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,340,825 : 353,209,981.50 = 353,209,981.50 : x
  2. Step 2: Convert to fraction form
    230,340,825/353,209,981.50 = 353,209,981.50/x
  3. Step 3: Cross multiply
    230,340,825x = 353,209,981.50 × 353,209,981.50
  4. Step 4: Simplify right side
    230,340,825x = 124,757,291,031,230,336
  5. Step 5: Solve for x
    x = 124,757,291,031,230,336/230,340,825
  6. Step 6: Final answer
    x = 541,620,405.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.