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Finding the Third Proportional to 165,683,516 and 360,456,466

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Solution

The third proportional to 165,683,516 and 360,456,466 is: 784,199,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,683,516 : 360,456,466 = 360,456,466 : x
  2. Step 2: Convert to fraction form
    165,683,516/360,456,466 = 360,456,466/x
  3. Step 3: Cross multiply
    165,683,516x = 360,456,466 × 360,456,466
  4. Step 4: Simplify right side
    165,683,516x = 129,928,863,881,209,152
  5. Step 5: Solve for x
    x = 129,928,863,881,209,152/165,683,516
  6. Step 6: Final answer
    x = 784,199,098.49

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Why These Related Problems?

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