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Finding the Third Proportional to 164,557,521 and 342,735,374.25

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Solution

The third proportional to 164,557,521 and 342,735,374.25 is: 713,838,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,557,521 : 342,735,374.25 = 342,735,374.25 : x
  2. Step 2: Convert to fraction form
    164,557,521/342,735,374.25 = 342,735,374.25/x
  3. Step 3: Cross multiply
    164,557,521x = 342,735,374.25 × 342,735,374.25
  4. Step 4: Simplify right side
    164,557,521x = 117,467,536,762,287,568
  5. Step 5: Solve for x
    x = 117,467,536,762,287,568/164,557,521
  6. Step 6: Final answer
    x = 713,838,760.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.