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Finding the Third Proportional to 130,538,144 and 195,807,216

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Solution

The third proportional to 130,538,144 and 195,807,216 is: 293,710,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,538,144 : 195,807,216 = 195,807,216 : x
  2. Step 2: Convert to fraction form
    130,538,144/195,807,216 = 195,807,216/x
  3. Step 3: Cross multiply
    130,538,144x = 195,807,216 × 195,807,216
  4. Step 4: Simplify right side
    130,538,144x = 38,340,465,837,670,656
  5. Step 5: Solve for x
    x = 38,340,465,837,670,656/130,538,144
  6. Step 6: Final answer
    x = 293,710,824

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Why These Related Problems?

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