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Finding the Third Proportional to 82,296,825.75 and 123,041,737.50

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Solution

The third proportional to 82,296,825.75 and 123,041,737.50 is: 183,959,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,296,825.75 : 123,041,737.50 = 123,041,737.50 : x
  2. Step 2: Convert to fraction form
    82,296,825.75/123,041,737.50 = 123,041,737.50/x
  3. Step 3: Cross multiply
    82,296,825.75x = 123,041,737.50 × 123,041,737.50
  4. Step 4: Simplify right side
    82,296,825.75x = 15,139,269,167,018,906
  5. Step 5: Solve for x
    x = 15,139,269,167,018,906/82,296,825.75
  6. Step 6: Final answer
    x = 183,959,332.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.