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Finding the Third Proportional to 226,736,829 and 340,046,113.50

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Solution

The third proportional to 226,736,829 and 340,046,113.50 is: 509,980,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,736,829 : 340,046,113.50 = 340,046,113.50 : x
  2. Step 2: Convert to fraction form
    226,736,829/340,046,113.50 = 340,046,113.50/x
  3. Step 3: Cross multiply
    226,736,829x = 340,046,113.50 × 340,046,113.50
  4. Step 4: Simplify right side
    226,736,829x = 115,631,359,306,454,880
  5. Step 5: Solve for x
    x = 115,631,359,306,454,880/226,736,829
  6. Step 6: Final answer
    x = 509,980,490.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.