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Finding the Third Proportional to 249,689,092 and 536,193,288

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Solution

The third proportional to 249,689,092 and 536,193,288 is: 1,151,444,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,689,092 : 536,193,288 = 536,193,288 : x
  2. Step 2: Convert to fraction form
    249,689,092/536,193,288 = 536,193,288/x
  3. Step 3: Cross multiply
    249,689,092x = 536,193,288 × 536,193,288
  4. Step 4: Simplify right side
    249,689,092x = 287,503,242,096,250,944
  5. Step 5: Solve for x
    x = 287,503,242,096,250,944/249,689,092
  6. Step 6: Final answer
    x = 1,151,444,942.16

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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.