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Finding the Third Proportional to 161,447,938 and 344,421,788

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Solution

The third proportional to 161,447,938 and 344,421,788 is: 734,765,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,447,938 : 344,421,788 = 344,421,788 : x
  2. Step 2: Convert to fraction form
    161,447,938/344,421,788 = 344,421,788/x
  3. Step 3: Cross multiply
    161,447,938x = 344,421,788 × 344,421,788
  4. Step 4: Simplify right side
    161,447,938x = 118,626,368,049,116,944
  5. Step 5: Solve for x
    x = 118,626,368,049,116,944/161,447,938
  6. Step 6: Final answer
    x = 734,765,457.64

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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.