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Finding the Third Proportional to 229,732,752 and 491,758,008

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Solution

The third proportional to 229,732,752 and 491,758,008 is: 1,052,640,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,732,752 : 491,758,008 = 491,758,008 : x
  2. Step 2: Convert to fraction form
    229,732,752/491,758,008 = 491,758,008/x
  3. Step 3: Cross multiply
    229,732,752x = 491,758,008 × 491,758,008
  4. Step 4: Simplify right side
    229,732,752x = 241,825,938,432,128,064
  5. Step 5: Solve for x
    x = 241,825,938,432,128,064/229,732,752
  6. Step 6: Final answer
    x = 1,052,640,236.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.