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Finding the Third Proportional to 130,538,345 and 195,807,481

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Solution

The third proportional to 130,538,345 and 195,807,481 is: 293,711,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,538,345 : 195,807,481 = 195,807,481 : x
  2. Step 2: Convert to fraction form
    130,538,345/195,807,481 = 195,807,481/x
  3. Step 3: Cross multiply
    130,538,345x = 195,807,481 × 195,807,481
  4. Step 4: Simplify right side
    130,538,345x = 38,340,569,615,565,360
  5. Step 5: Solve for x
    x = 38,340,569,615,565,360/130,538,345
  6. Step 6: Final answer
    x = 293,711,166.75

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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.