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Finding the Third Proportional to 230,001,565 and 498,810,234

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Solution

The third proportional to 230,001,565 and 498,810,234 is: 1,081,782,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,001,565 : 498,810,234 = 498,810,234 : x
  2. Step 2: Convert to fraction form
    230,001,565/498,810,234 = 498,810,234/x
  3. Step 3: Cross multiply
    230,001,565x = 498,810,234 × 498,810,234
  4. Step 4: Simplify right side
    230,001,565x = 248,811,649,543,134,752
  5. Step 5: Solve for x
    x = 248,811,649,543,134,752/230,001,565
  6. Step 6: Final answer
    x = 1,081,782,419.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.