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Finding the Third Proportional to 230,255,190 and 500,853,348

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Solution

The third proportional to 230,255,190 and 500,853,348 is: 1,089,461,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,255,190 : 500,853,348 = 500,853,348 : x
  2. Step 2: Convert to fraction form
    230,255,190/500,853,348 = 500,853,348/x
  3. Step 3: Cross multiply
    230,255,190x = 500,853,348 × 500,853,348
  4. Step 4: Simplify right side
    230,255,190x = 250,854,076,202,809,088
  5. Step 5: Solve for x
    x = 250,854,076,202,809,088/230,255,190
  6. Step 6: Final answer
    x = 1,089,461,115.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.