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Finding the Third Proportional to 235,966,203.50 and 357,228,104.25

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Solution

The third proportional to 235,966,203.50 and 357,228,104.25 is: 540,805,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,966,203.50 : 357,228,104.25 = 357,228,104.25 : x
  2. Step 2: Convert to fraction form
    235,966,203.50/357,228,104.25 = 357,228,104.25/x
  3. Step 3: Cross multiply
    235,966,203.50x = 357,228,104.25 × 357,228,104.25
  4. Step 4: Simplify right side
    235,966,203.50x = 127,611,918,466,048,864
  5. Step 5: Solve for x
    x = 127,611,918,466,048,864/235,966,203.50
  6. Step 6: Final answer
    x = 540,805,914.46

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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.