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Finding the Third Proportional to 144,350,571 and 340,641,511.50

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Solution

The third proportional to 144,350,571 and 340,641,511.50 is: 803,852,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,350,571 : 340,641,511.50 = 340,641,511.50 : x
  2. Step 2: Convert to fraction form
    144,350,571/340,641,511.50 = 340,641,511.50/x
  3. Step 3: Cross multiply
    144,350,571x = 340,641,511.50 × 340,641,511.50
  4. Step 4: Simplify right side
    144,350,571x = 116,036,639,357,004,640
  5. Step 5: Solve for x
    x = 116,036,639,357,004,640/144,350,571
  6. Step 6: Final answer
    x = 803,852,998.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.