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Finding the Third Proportional to 83,952,186.75 and 181,655,363.81

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Solution

The third proportional to 83,952,186.75 and 181,655,363.81 is: 393,065,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952,186.75 : 181,655,363.81 = 181,655,363.81 : x
  2. Step 2: Convert to fraction form
    83,952,186.75/181,655,363.81 = 181,655,363.81/x
  3. Step 3: Cross multiply
    83,952,186.75x = 181,655,363.81 × 181,655,363.81
  4. Step 4: Simplify right side
    83,952,186.75x = 32,998,671,201,851,736
  5. Step 5: Solve for x
    x = 32,998,671,201,851,736/83,952,186.75
  6. Step 6: Final answer
    x = 393,065,058.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.