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Finding the Third Proportional to 137,251,926 and 301,709,160

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Solution

The third proportional to 137,251,926 and 301,709,160 is: 663,221,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,251,926 : 301,709,160 = 301,709,160 : x
  2. Step 2: Convert to fraction form
    137,251,926/301,709,160 = 301,709,160/x
  3. Step 3: Cross multiply
    137,251,926x = 301,709,160 × 301,709,160
  4. Step 4: Simplify right side
    137,251,926x = 91,028,417,227,905,600
  5. Step 5: Solve for x
    x = 91,028,417,227,905,600/137,251,926
  6. Step 6: Final answer
    x = 663,221,419.77

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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.