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Finding the Third Proportional to 205,708,072.50 and 439,314,333.75

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Solution

The third proportional to 205,708,072.50 and 439,314,333.75 is: 938,208,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708,072.50 : 439,314,333.75 = 439,314,333.75 : x
  2. Step 2: Convert to fraction form
    205,708,072.50/439,314,333.75 = 439,314,333.75/x
  3. Step 3: Cross multiply
    205,708,072.50x = 439,314,333.75 × 439,314,333.75
  4. Step 4: Simplify right side
    205,708,072.50x = 192,997,083,838,206,400
  5. Step 5: Solve for x
    x = 192,997,083,838,206,400/205,708,072.50
  6. Step 6: Final answer
    x = 938,208,605.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.