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Finding the Third Proportional to 75,718,160 and 164,702,848

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Solution

The third proportional to 75,718,160 and 164,702,848 is: 358,263,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718,160 : 164,702,848 = 164,702,848 : x
  2. Step 2: Convert to fraction form
    75,718,160/164,702,848 = 164,702,848/x
  3. Step 3: Cross multiply
    75,718,160x = 164,702,848 × 164,702,848
  4. Step 4: Simplify right side
    75,718,160x = 27,127,028,139,311,104
  5. Step 5: Solve for x
    x = 27,127,028,139,311,104/75,718,160
  6. Step 6: Final answer
    x = 358,263,171.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.