Home / 83,640,129.19-181,180,967.06

Finding the Third Proportional to 83,640,129.19 and 181,180,967.06

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Solution

The third proportional to 83,640,129.19 and 181,180,967.06 is: 392,473,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,640,129.19 : 181,180,967.06 = 181,180,967.06 : x
  2. Step 2: Convert to fraction form
    83,640,129.19/181,180,967.06 = 181,180,967.06/x
  3. Step 3: Cross multiply
    83,640,129.19x = 181,180,967.06 × 181,180,967.06
  4. Step 4: Simplify right side
    83,640,129.19x = 32,826,542,825,702,708
  5. Step 5: Solve for x
    x = 32,826,542,825,702,708/83,640,129.19
  6. Step 6: Final answer
    x = 392,473,602.62

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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.