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Finding the Third Proportional to 148,497,300 and 319,743,216

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Solution

The third proportional to 148,497,300 and 319,743,216 is: 688,468,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,497,300 : 319,743,216 = 319,743,216 : x
  2. Step 2: Convert to fraction form
    148,497,300/319,743,216 = 319,743,216/x
  3. Step 3: Cross multiply
    148,497,300x = 319,743,216 × 319,743,216
  4. Step 4: Simplify right side
    148,497,300x = 102,235,724,178,022,656
  5. Step 5: Solve for x
    x = 102,235,724,178,022,656/148,497,300
  6. Step 6: Final answer
    x = 688,468,572.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.