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Finding the Third Proportional to 83,269,289.25 and 180,439,076.25

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Solution

The third proportional to 83,269,289.25 and 180,439,076.25 is: 390,999,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269,289.25 : 180,439,076.25 = 180,439,076.25 : x
  2. Step 2: Convert to fraction form
    83,269,289.25/180,439,076.25 = 180,439,076.25/x
  3. Step 3: Cross multiply
    83,269,289.25x = 180,439,076.25 × 180,439,076.25
  4. Step 4: Simplify right side
    83,269,289.25x = 32,558,260,237,953,316
  5. Step 5: Solve for x
    x = 32,558,260,237,953,316/83,269,289.25
  6. Step 6: Final answer
    x = 390,999,617.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.