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Finding the Third Proportional to 202,214,770.50 and 435,577,888.50

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Solution

The third proportional to 202,214,770.50 and 435,577,888.50 is: 938,250,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214,770.50 : 435,577,888.50 = 435,577,888.50 : x
  2. Step 2: Convert to fraction form
    202,214,770.50/435,577,888.50 = 435,577,888.50/x
  3. Step 3: Cross multiply
    202,214,770.50x = 435,577,888.50 × 435,577,888.50
  4. Step 4: Simplify right side
    202,214,770.50x = 189,728,096,950,118,432
  5. Step 5: Solve for x
    x = 189,728,096,950,118,432/202,214,770.50
  6. Step 6: Final answer
    x = 938,250,437.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.