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Finding the Third Proportional to 83,692,196 and 180,208,960

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Solution

The third proportional to 83,692,196 and 180,208,960 is: 388,032,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692,196 : 180,208,960 = 180,208,960 : x
  2. Step 2: Convert to fraction form
    83,692,196/180,208,960 = 180,208,960/x
  3. Step 3: Cross multiply
    83,692,196x = 180,208,960 × 180,208,960
  4. Step 4: Simplify right side
    83,692,196x = 32,475,269,264,281,600
  5. Step 5: Solve for x
    x = 32,475,269,264,281,600/83,692,196
  6. Step 6: Final answer
    x = 388,032,227.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.