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Finding the Third Proportional to 169,333,200 and 359,013,648

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Solution

The third proportional to 169,333,200 and 359,013,648 is: 761,166,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,333,200 : 359,013,648 = 359,013,648 : x
  2. Step 2: Convert to fraction form
    169,333,200/359,013,648 = 359,013,648/x
  3. Step 3: Cross multiply
    169,333,200x = 359,013,648 × 359,013,648
  4. Step 4: Simplify right side
    169,333,200x = 128,890,799,450,267,904
  5. Step 5: Solve for x
    x = 128,890,799,450,267,904/169,333,200
  6. Step 6: Final answer
    x = 761,166,737.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.