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Finding the Third Proportional to 84,174,465 and 180,880,449

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Solution

The third proportional to 84,174,465 and 180,880,449 is: 388,689,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174,465 : 180,880,449 = 180,880,449 : x
  2. Step 2: Convert to fraction form
    84,174,465/180,880,449 = 180,880,449/x
  3. Step 3: Cross multiply
    84,174,465x = 180,880,449 × 180,880,449
  4. Step 4: Simplify right side
    84,174,465x = 32,717,736,830,441,600
  5. Step 5: Solve for x
    x = 32,717,736,830,441,600/84,174,465
  6. Step 6: Final answer
    x = 388,689,572.67

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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.