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Finding the Third Proportional to 255,205,712 and 395,931,044

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Solution

The third proportional to 255,205,712 and 395,931,044 is: 614,255,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205,712 : 395,931,044 = 395,931,044 : x
  2. Step 2: Convert to fraction form
    255,205,712/395,931,044 = 395,931,044/x
  3. Step 3: Cross multiply
    255,205,712x = 395,931,044 × 395,931,044
  4. Step 4: Simplify right side
    255,205,712x = 156,761,391,602,929,920
  5. Step 5: Solve for x
    x = 156,761,391,602,929,920/255,205,712
  6. Step 6: Final answer
    x = 614,255,027.34

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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.