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Finding the Third Proportional to 165,013,965 and 349,698,532.50

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Solution

The third proportional to 165,013,965 and 349,698,532.50 is: 741,083,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,965 : 349,698,532.50 = 349,698,532.50 : x
  2. Step 2: Convert to fraction form
    165,013,965/349,698,532.50 = 349,698,532.50/x
  3. Step 3: Cross multiply
    165,013,965x = 349,698,532.50 × 349,698,532.50
  4. Step 4: Simplify right side
    165,013,965x = 122,289,063,632,653,552
  5. Step 5: Solve for x
    x = 122,289,063,632,653,552/165,013,965
  6. Step 6: Final answer
    x = 741,083,117.62

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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.