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Finding the Third Proportional to 84,168,348 and 181,120,440

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Solution

The third proportional to 84,168,348 and 181,120,440 is: 389,750,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168,348 : 181,120,440 = 181,120,440 : x
  2. Step 2: Convert to fraction form
    84,168,348/181,120,440 = 181,120,440/x
  3. Step 3: Cross multiply
    84,168,348x = 181,120,440 × 181,120,440
  4. Step 4: Simplify right side
    84,168,348x = 32,804,613,785,793,600
  5. Step 5: Solve for x
    x = 32,804,613,785,793,600/84,168,348
  6. Step 6: Final answer
    x = 389,750,001.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.