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Finding the Third Proportional to 233,265,561.75 and 501,148,365.75

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Solution

The third proportional to 233,265,561.75 and 501,148,365.75 is: 1,076,668,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,561.75 : 501,148,365.75 = 501,148,365.75 : x
  2. Step 2: Convert to fraction form
    233,265,561.75/501,148,365.75 = 501,148,365.75/x
  3. Step 3: Cross multiply
    233,265,561.75x = 501,148,365.75 × 501,148,365.75
  4. Step 4: Simplify right side
    233,265,561.75x = 251,149,684,493,895,776
  5. Step 5: Solve for x
    x = 251,149,684,493,895,776/233,265,561.75
  6. Step 6: Final answer
    x = 1,076,668,508.67

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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.