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Finding the Third Proportional to 115,641,221.25 and 252,473,435.63

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Solution

The third proportional to 115,641,221.25 and 252,473,435.63 is: 551,212,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,641,221.25 : 252,473,435.63 = 252,473,435.63 : x
  2. Step 2: Convert to fraction form
    115,641,221.25/252,473,435.63 = 252,473,435.63/x
  3. Step 3: Cross multiply
    115,641,221.25x = 252,473,435.63 × 252,473,435.63
  4. Step 4: Simplify right side
    115,641,221.25x = 63,742,835,696,291,016
  5. Step 5: Solve for x
    x = 63,742,835,696,291,016/115,641,221.25
  6. Step 6: Final answer
    x = 551,212,059.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.