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Finding the Third Proportional to 160,210,128 and 328,913,478

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Solution

The third proportional to 160,210,128 and 328,913,478 is: 675,263,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,210,128 : 328,913,478 = 328,913,478 : x
  2. Step 2: Convert to fraction form
    160,210,128/328,913,478 = 328,913,478/x
  3. Step 3: Cross multiply
    160,210,128x = 328,913,478 × 328,913,478
  4. Step 4: Simplify right side
    160,210,128x = 108,184,076,010,056,480
  5. Step 5: Solve for x
    x = 108,184,076,010,056,480/160,210,128
  6. Step 6: Final answer
    x = 675,263,651.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.