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Finding the Third Proportional to 75,927,633.82 and 162,616,794.12

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Solution

The third proportional to 75,927,633.82 and 162,616,794.12 is: 348,281,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,927,633.82 : 162,616,794.12 = 162,616,794.12 : x
  2. Step 2: Convert to fraction form
    75,927,633.82/162,616,794.12 = 162,616,794.12/x
  3. Step 3: Cross multiply
    75,927,633.82x = 162,616,794.12 × 162,616,794.12
  4. Step 4: Simplify right side
    75,927,633.82x = 26,444,221,728,949,304
  5. Step 5: Solve for x
    x = 26,444,221,728,949,304/75,927,633.82
  6. Step 6: Final answer
    x = 348,281,915.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.