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Finding the Third Proportional to 249,689,168 and 536,193,440

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Solution

The third proportional to 249,689,168 and 536,193,440 is: 1,151,445,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,689,168 : 536,193,440 = 536,193,440 : x
  2. Step 2: Convert to fraction form
    249,689,168/536,193,440 = 536,193,440/x
  3. Step 3: Cross multiply
    249,689,168x = 536,193,440 × 536,193,440
  4. Step 4: Simplify right side
    249,689,168x = 287,503,405,099,033,600
  5. Step 5: Solve for x
    x = 287,503,405,099,033,600/249,689,168
  6. Step 6: Final answer
    x = 1,151,445,244.51

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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.