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Finding the Third Proportional to 74,412,340.88 and 115,686,316.13

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Solution

The third proportional to 74,412,340.88 and 115,686,316.13 is: 179,853,550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412,340.88 : 115,686,316.13 = 115,686,316.13 : x
  2. Step 2: Convert to fraction form
    74,412,340.88/115,686,316.13 = 115,686,316.13/x
  3. Step 3: Cross multiply
    74,412,340.88x = 115,686,316.13 × 115,686,316.13
  4. Step 4: Simplify right side
    74,412,340.88x = 13,383,323,738,573,436
  5. Step 5: Solve for x
    x = 13,383,323,738,573,436/74,412,340.88
  6. Step 6: Final answer
    x = 179,853,550.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.