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Finding the Third Proportional to 227,305,565 and 490,091,128.50

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Solution

The third proportional to 227,305,565 and 490,091,128.50 is: 1,056,680,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,305,565 : 490,091,128.50 = 490,091,128.50 : x
  2. Step 2: Convert to fraction form
    227,305,565/490,091,128.50 = 490,091,128.50/x
  3. Step 3: Cross multiply
    227,305,565x = 490,091,128.50 × 490,091,128.50
  4. Step 4: Simplify right side
    227,305,565x = 240,189,314,234,403,520
  5. Step 5: Solve for x
    x = 240,189,314,234,403,520/227,305,565
  6. Step 6: Final answer
    x = 1,056,680,307.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.