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Finding the Third Proportional to 211,155,639.75 and 441,617,386.50

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Solution

The third proportional to 211,155,639.75 and 441,617,386.50 is: 923,612,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,155,639.75 : 441,617,386.50 = 441,617,386.50 : x
  2. Step 2: Convert to fraction form
    211,155,639.75/441,617,386.50 = 441,617,386.50/x
  3. Step 3: Cross multiply
    211,155,639.75x = 441,617,386.50 × 441,617,386.50
  4. Step 4: Simplify right side
    211,155,639.75x = 195,025,916,059,090,368
  5. Step 5: Solve for x
    x = 195,025,916,059,090,368/211,155,639.75
  6. Step 6: Final answer
    x = 923,612,157.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.