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Finding the Third Proportional to 255,205,706 and 395,931,033

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Solution

The third proportional to 255,205,706 and 395,931,033 is: 614,255,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205,706 : 395,931,033 = 395,931,033 : x
  2. Step 2: Convert to fraction form
    255,205,706/395,931,033 = 395,931,033/x
  3. Step 3: Cross multiply
    255,205,706x = 395,931,033 × 395,931,033
  4. Step 4: Simplify right side
    255,205,706x = 156,761,382,892,447,104
  5. Step 5: Solve for x
    x = 156,761,382,892,447,104/255,205,706
  6. Step 6: Final answer
    x = 614,255,007.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.