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Finding the Third Proportional to 255,205,704 and 395,931,030

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Solution

The third proportional to 255,205,704 and 395,931,030 is: 614,255,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205,704 : 395,931,030 = 395,931,030 : x
  2. Step 2: Convert to fraction form
    255,205,704/395,931,030 = 395,931,030/x
  3. Step 3: Cross multiply
    255,205,704x = 395,931,030 × 395,931,030
  4. Step 4: Simplify right side
    255,205,704x = 156,761,380,516,860,896
  5. Step 5: Solve for x
    x = 156,761,380,516,860,896/255,205,704
  6. Step 6: Final answer
    x = 614,255,003.16

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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.