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Finding the Third Proportional to 159,117,384 and 237,696,129

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Solution

The third proportional to 159,117,384 and 237,696,129 is: 355,080,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,117,384 : 237,696,129 = 237,696,129 : x
  2. Step 2: Convert to fraction form
    159,117,384/237,696,129 = 237,696,129/x
  3. Step 3: Cross multiply
    159,117,384x = 237,696,129 × 237,696,129
  4. Step 4: Simplify right side
    159,117,384x = 56,499,449,741,584,640
  5. Step 5: Solve for x
    x = 56,499,449,741,584,640/159,117,384
  6. Step 6: Final answer
    x = 355,080,308.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.