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Finding the Third Proportional to 230,001,564 and 498,810,232

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Solution

The third proportional to 230,001,564 and 498,810,232 is: 1,081,782,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,001,564 : 498,810,232 = 498,810,232 : x
  2. Step 2: Convert to fraction form
    230,001,564/498,810,232 = 498,810,232/x
  3. Step 3: Cross multiply
    230,001,564x = 498,810,232 × 498,810,232
  4. Step 4: Simplify right side
    230,001,564x = 248,811,647,547,893,824
  5. Step 5: Solve for x
    x = 248,811,647,547,893,824/230,001,564
  6. Step 6: Final answer
    x = 1,081,782,415.83

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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.