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Finding the Third Proportional to 83,692,516 and 180,209,709

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Solution

The third proportional to 83,692,516 and 180,209,709 is: 388,033,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692,516 : 180,209,709 = 180,209,709 : x
  2. Step 2: Convert to fraction form
    83,692,516/180,209,709 = 180,209,709/x
  3. Step 3: Cross multiply
    83,692,516x = 180,209,709 × 180,209,709
  4. Step 4: Simplify right side
    83,692,516x = 32,475,539,217,864,680
  5. Step 5: Solve for x
    x = 32,475,539,217,864,680/83,692,516
  6. Step 6: Final answer
    x = 388,033,969.70

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Why These Related Problems?

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