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Finding the Third Proportional to 165,683,501 and 360,456,437

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Solution

The third proportional to 165,683,501 and 360,456,437 is: 784,199,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,683,501 : 360,456,437 = 360,456,437 : x
  2. Step 2: Convert to fraction form
    165,683,501/360,456,437 = 360,456,437/x
  3. Step 3: Cross multiply
    165,683,501x = 360,456,437 × 360,456,437
  4. Step 4: Simplify right side
    165,683,501x = 129,928,842,974,734,976
  5. Step 5: Solve for x
    x = 129,928,842,974,734,976/165,683,501
  6. Step 6: Final answer
    x = 784,199,043.30

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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.