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Finding the Third Proportional to 200,593,627.03 and 436,798,534.50

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Solution

The third proportional to 200,593,627.03 and 436,798,534.50 is: 951,141,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,593,627.03 : 436,798,534.50 = 436,798,534.50 : x
  2. Step 2: Convert to fraction form
    200,593,627.03/436,798,534.50 = 436,798,534.50/x
  3. Step 3: Cross multiply
    200,593,627.03x = 436,798,534.50 × 436,798,534.50
  4. Step 4: Simplify right side
    200,593,627.03x = 190,792,959,741,347,680
  5. Step 5: Solve for x
    x = 190,792,959,741,347,680/200,593,627.03
  6. Step 6: Final answer
    x = 951,141,681.64

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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.