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Finding the Third Proportional to 130,322,443.50 and 191,223,213.75

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Solution

The third proportional to 130,322,443.50 and 191,223,213.75 is: 280,583,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,322,443.50 : 191,223,213.75 = 191,223,213.75 : x
  2. Step 2: Convert to fraction form
    130,322,443.50/191,223,213.75 = 191,223,213.75/x
  3. Step 3: Cross multiply
    130,322,443.50x = 191,223,213.75 × 191,223,213.75
  4. Step 4: Simplify right side
    130,322,443.50x = 36,566,317,476,878,192
  5. Step 5: Solve for x
    x = 36,566,317,476,878,192/130,322,443.50
  6. Step 6: Final answer
    x = 280,583,424.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.