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Finding the Third Proportional to 74,346,681.94 and 104,511,659.06

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Solution

The third proportional to 74,346,681.94 and 104,511,659.06 is: 146,915,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,346,681.94 : 104,511,659.06 = 104,511,659.06 : x
  2. Step 2: Convert to fraction form
    74,346,681.94/104,511,659.06 = 104,511,659.06/x
  3. Step 3: Cross multiply
    74,346,681.94x = 104,511,659.06 × 104,511,659.06
  4. Step 4: Simplify right side
    74,346,681.94x = 10,922,686,879,996,238
  5. Step 5: Solve for x
    x = 10,922,686,879,996,238/74,346,681.94
  6. Step 6: Final answer
    x = 146,915,593.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.