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Finding the Third Proportional to 83,375,910 and 181,104,683.06

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Solution

The third proportional to 83,375,910 and 181,104,683.06 is: 393,385,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,375,910 : 181,104,683.06 = 181,104,683.06 : x
  2. Step 2: Convert to fraction form
    83,375,910/181,104,683.06 = 181,104,683.06/x
  3. Step 3: Cross multiply
    83,375,910x = 181,104,683.06 × 181,104,683.06
  4. Step 4: Simplify right side
    83,375,910x = 32,798,906,227,168,576
  5. Step 5: Solve for x
    x = 32,798,906,227,168,576/83,375,910
  6. Step 6: Final answer
    x = 393,385,886.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.