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Finding the Third Proportional to 201,249,116.25 and 434,810,883.75

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Solution

The third proportional to 201,249,116.25 and 434,810,883.75 is: 939,435,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,249,116.25 : 434,810,883.75 = 434,810,883.75 : x
  2. Step 2: Convert to fraction form
    201,249,116.25/434,810,883.75 = 434,810,883.75/x
  3. Step 3: Cross multiply
    201,249,116.25x = 434,810,883.75 × 434,810,883.75
  4. Step 4: Simplify right side
    201,249,116.25x = 189,060,504,627,456,000
  5. Step 5: Solve for x
    x = 189,060,504,627,456,000/201,249,116.25
  6. Step 6: Final answer
    x = 939,435,204.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.