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Finding the Third Proportional to 84,662,384.50 and 123,725,493.50

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Solution

The third proportional to 84,662,384.50 and 123,725,493.50 is: 180,812,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,662,384.50 : 123,725,493.50 = 123,725,493.50 : x
  2. Step 2: Convert to fraction form
    84,662,384.50/123,725,493.50 = 123,725,493.50/x
  3. Step 3: Cross multiply
    84,662,384.50x = 123,725,493.50 × 123,725,493.50
  4. Step 4: Simplify right side
    84,662,384.50x = 15,307,997,741,818,542
  5. Step 5: Solve for x
    x = 15,307,997,741,818,542/84,662,384.50
  6. Step 6: Final answer
    x = 180,812,267.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.