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Finding the Third Proportional to 250,640,448.19 and 383,164,650.28

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Solution

The third proportional to 250,640,448.19 and 383,164,650.28 is: 585,760,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,640,448.19 : 383,164,650.28 = 383,164,650.28 : x
  2. Step 2: Convert to fraction form
    250,640,448.19/383,164,650.28 = 383,164,650.28/x
  3. Step 3: Cross multiply
    250,640,448.19x = 383,164,650.28 × 383,164,650.28
  4. Step 4: Simplify right side
    250,640,448.19x = 146,815,149,225,152,608
  5. Step 5: Solve for x
    x = 146,815,149,225,152,608/250,640,448.19
  6. Step 6: Final answer
    x = 585,760,001.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.