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Finding the Third Proportional to 228,111,749 and 468,316,395

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Solution

The third proportional to 228,111,749 and 468,316,395 is: 961,459,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,111,749 : 468,316,395 = 468,316,395 : x
  2. Step 2: Convert to fraction form
    228,111,749/468,316,395 = 468,316,395/x
  3. Step 3: Cross multiply
    228,111,749x = 468,316,395 × 468,316,395
  4. Step 4: Simplify right side
    228,111,749x = 219,320,245,825,796,032
  5. Step 5: Solve for x
    x = 219,320,245,825,796,032/228,111,749
  6. Step 6: Final answer
    x = 961,459,665.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.