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Finding the Third Proportional to 269,031,141 and 559,533,694.50

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Solution

The third proportional to 269,031,141 and 559,533,694.50 is: 1,163,723,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,031,141 : 559,533,694.50 = 559,533,694.50 : x
  2. Step 2: Convert to fraction form
    269,031,141/559,533,694.50 = 559,533,694.50/x
  3. Step 3: Cross multiply
    269,031,141x = 559,533,694.50 × 559,533,694.50
  4. Step 4: Simplify right side
    269,031,141x = 313,077,955,280,819,328
  5. Step 5: Solve for x
    x = 313,077,955,280,819,328/269,031,141
  6. Step 6: Final answer
    x = 1,163,723,850.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.