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Finding the Third Proportional to 137,251,924 and 301,709,156

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Solution

The third proportional to 137,251,924 and 301,709,156 is: 663,221,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,251,924 : 301,709,156 = 301,709,156 : x
  2. Step 2: Convert to fraction form
    137,251,924/301,709,156 = 301,709,156/x
  3. Step 3: Cross multiply
    137,251,924x = 301,709,156 × 301,709,156
  4. Step 4: Simplify right side
    137,251,924x = 91,028,414,814,232,336
  5. Step 5: Solve for x
    x = 91,028,414,814,232,336/137,251,924
  6. Step 6: Final answer
    x = 663,221,411.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.