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Finding the Third Proportional to 75,521,837.63 and 162,664,333.13

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Solution

The third proportional to 75,521,837.63 and 162,664,333.13 is: 350,358,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,521,837.63 : 162,664,333.13 = 162,664,333.13 : x
  2. Step 2: Convert to fraction form
    75,521,837.63/162,664,333.13 = 162,664,333.13/x
  3. Step 3: Cross multiply
    75,521,837.63x = 162,664,333.13 × 162,664,333.13
  4. Step 4: Simplify right side
    75,521,837.63x = 26,459,685,271,000,972
  5. Step 5: Solve for x
    x = 26,459,685,271,000,972/75,521,837.63
  6. Step 6: Final answer
    x = 350,358,069.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.