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Finding the Third Proportional to 239,048,804.81 and 351,737,465.34

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Solution

The third proportional to 239,048,804.81 and 351,737,465.34 is: 517,548,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,048,804.81 : 351,737,465.34 = 351,737,465.34 : x
  2. Step 2: Convert to fraction form
    239,048,804.81/351,737,465.34 = 351,737,465.34/x
  3. Step 3: Cross multiply
    239,048,804.81x = 351,737,465.34 × 351,737,465.34
  4. Step 4: Simplify right side
    239,048,804.81x = 123,719,244,526,452,784
  5. Step 5: Solve for x
    x = 123,719,244,526,452,784/239,048,804.81
  6. Step 6: Final answer
    x = 517,548,057.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.