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Finding the Third Proportional to 201,771,810 and 434,489,346

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Solution

The third proportional to 201,771,810 and 434,489,346 is: 935,616,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771,810 : 434,489,346 = 434,489,346 : x
  2. Step 2: Convert to fraction form
    201,771,810/434,489,346 = 434,489,346/x
  3. Step 3: Cross multiply
    201,771,810x = 434,489,346 × 434,489,346
  4. Step 4: Simplify right side
    201,771,810x = 188,780,991,787,507,712
  5. Step 5: Solve for x
    x = 188,780,991,787,507,712/201,771,810
  6. Step 6: Final answer
    x = 935,616,287.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.