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Finding the Third Proportional to 193,849,462 and 290,916,106

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Solution

The third proportional to 193,849,462 and 290,916,106 is: 436,587,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,849,462 : 290,916,106 = 290,916,106 : x
  2. Step 2: Convert to fraction form
    193,849,462/290,916,106 = 290,916,106/x
  3. Step 3: Cross multiply
    193,849,462x = 290,916,106 × 290,916,106
  4. Step 4: Simplify right side
    193,849,462x = 84,632,180,730,203,232
  5. Step 5: Solve for x
    x = 84,632,180,730,203,232/193,849,462
  6. Step 6: Final answer
    x = 436,587,132.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.