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Finding the Third Proportional to 132,084,001.69 and 298,414,783.13

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Solution

The third proportional to 132,084,001.69 and 298,414,783.13 is: 674,202,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,084,001.69 : 298,414,783.13 = 298,414,783.13 : x
  2. Step 2: Convert to fraction form
    132,084,001.69/298,414,783.13 = 298,414,783.13/x
  3. Step 3: Cross multiply
    132,084,001.69x = 298,414,783.13 × 298,414,783.13
  4. Step 4: Simplify right side
    132,084,001.69x = 89,051,382,787,540,784
  5. Step 5: Solve for x
    x = 89,051,382,787,540,784/132,084,001.69
  6. Step 6: Final answer
    x = 674,202,641.12

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.