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Finding the Third Proportional to 230,092,821 and 310,971,487.50

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Solution

The third proportional to 230,092,821 and 310,971,487.50 is: 420,279,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,821 : 310,971,487.50 = 310,971,487.50 : x
  2. Step 2: Convert to fraction form
    230,092,821/310,971,487.50 = 310,971,487.50/x
  3. Step 3: Cross multiply
    230,092,821x = 310,971,487.50 × 310,971,487.50
  4. Step 4: Simplify right side
    230,092,821x = 96,703,266,037,962,656
  5. Step 5: Solve for x
    x = 96,703,266,037,962,656/230,092,821
  6. Step 6: Final answer
    x = 420,279,370.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.