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Finding the Third Proportional to 75,711,061.41 and 164,343,560.34

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Solution

The third proportional to 75,711,061.41 and 164,343,560.34 is: 356,735,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711,061.41 : 164,343,560.34 = 164,343,560.34 : x
  2. Step 2: Convert to fraction form
    75,711,061.41/164,343,560.34 = 164,343,560.34/x
  3. Step 3: Cross multiply
    75,711,061.41x = 164,343,560.34 × 164,343,560.34
  4. Step 4: Simplify right side
    75,711,061.41x = 27,008,805,826,459,796
  5. Step 5: Solve for x
    x = 27,008,805,826,459,796/75,711,061.41
  6. Step 6: Final answer
    x = 356,735,268.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.