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Finding the Third Proportional to 161,447,926 and 344,421,765

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Solution

The third proportional to 161,447,926 and 344,421,765 is: 734,765,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,447,926 : 344,421,765 = 344,421,765 : x
  2. Step 2: Convert to fraction form
    161,447,926/344,421,765 = 344,421,765/x
  3. Step 3: Cross multiply
    161,447,926x = 344,421,765 × 344,421,765
  4. Step 4: Simplify right side
    161,447,926x = 118,626,352,205,715,232
  5. Step 5: Solve for x
    x = 118,626,352,205,715,232/161,447,926
  6. Step 6: Final answer
    x = 734,765,414.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.