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Finding the Third Proportional to 165,683,777.63 and 360,456,663.09

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Solution

The third proportional to 165,683,777.63 and 360,456,663.09 is: 784,198,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,683,777.63 : 360,456,663.09 = 360,456,663.09 : x
  2. Step 2: Convert to fraction form
    165,683,777.63/360,456,663.09 = 360,456,663.09/x
  3. Step 3: Cross multiply
    165,683,777.63x = 360,456,663.09 × 360,456,663.09
  4. Step 4: Simplify right side
    165,683,777.63x = 129,929,005,968,681,200
  5. Step 5: Solve for x
    x = 129,929,005,968,681,200/165,683,777.63
  6. Step 6: Final answer
    x = 784,198,717.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.