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Finding the Third Proportional to 75,070,972 and 164,490,848

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Solution

The third proportional to 75,070,972 and 164,490,848 is: 360,422,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,070,972 : 164,490,848 = 164,490,848 : x
  2. Step 2: Convert to fraction form
    75,070,972/164,490,848 = 164,490,848/x
  3. Step 3: Cross multiply
    75,070,972x = 164,490,848 × 164,490,848
  4. Step 4: Simplify right side
    75,070,972x = 27,057,239,075,759,104
  5. Step 5: Solve for x
    x = 27,057,239,075,759,104/75,070,972
  6. Step 6: Final answer
    x = 360,422,122.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.