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Finding the Third Proportional to 234,174,042,090 and 315,955,761,360.75

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Solution

The third proportional to 234,174,042,090 and 315,955,761,360.75 is: 426,298,501,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,174,042,090 : 315,955,761,360.75 = 315,955,761,360.75 : x
  2. Step 2: Convert to fraction form
    234,174,042,090/315,955,761,360.75 = 315,955,761,360.75/x
  3. Step 3: Cross multiply
    234,174,042,090x = 315,955,761,360.75 × 315,955,761,360.75
  4. Step 4: Simplify right side
    234,174,042,090x = 99,828,043,137,051,204,255,744
  5. Step 5: Solve for x
    x = 99,828,043,137,051,204,255,744/234,174,042,090
  6. Step 6: Final answer
    x = 426,298,501,089.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.