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Finding the Third Proportional to 209,257,722 and 344,564,725.50

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Solution

The third proportional to 209,257,722 and 344,564,725.50 is: 567,361,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257,722 : 344,564,725.50 = 344,564,725.50 : x
  2. Step 2: Convert to fraction form
    209,257,722/344,564,725.50 = 344,564,725.50/x
  3. Step 3: Cross multiply
    209,257,722x = 344,564,725.50 × 344,564,725.50
  4. Step 4: Simplify right side
    209,257,722x = 118,724,850,058,890,352
  5. Step 5: Solve for x
    x = 118,724,850,058,890,352/209,257,722
  6. Step 6: Final answer
    x = 567,361,858.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.