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Finding the Third Proportional to 161,447,936 and 344,421,784

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Solution

The third proportional to 161,447,936 and 344,421,784 is: 734,765,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,447,936 : 344,421,784 = 344,421,784 : x
  2. Step 2: Convert to fraction form
    161,447,936/344,421,784 = 344,421,784/x
  3. Step 3: Cross multiply
    161,447,936x = 344,421,784 × 344,421,784
  4. Step 4: Simplify right side
    161,447,936x = 118,626,365,293,742,656
  5. Step 5: Solve for x
    x = 118,626,365,293,742,656/161,447,936
  6. Step 6: Final answer
    x = 734,765,449.67

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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.