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Finding the Third Proportional to 115,852,079.25 and 174,855,477.94

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Solution

The third proportional to 115,852,079.25 and 174,855,477.94 is: 263,909,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852,079.25 : 174,855,477.94 = 174,855,477.94 : x
  2. Step 2: Convert to fraction form
    115,852,079.25/174,855,477.94 = 174,855,477.94/x
  3. Step 3: Cross multiply
    115,852,079.25x = 174,855,477.94 × 174,855,477.94
  4. Step 4: Simplify right side
    115,852,079.25x = 30,574,438,164,751,548
  5. Step 5: Solve for x
    x = 30,574,438,164,751,548/115,852,079.25
  6. Step 6: Final answer
    x = 263,909,274.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.