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Finding the Third Proportional to 249,150,166 and 533,838,159

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Solution

The third proportional to 249,150,166 and 533,838,159 is: 1,143,820,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,150,166 : 533,838,159 = 533,838,159 : x
  2. Step 2: Convert to fraction form
    249,150,166/533,838,159 = 533,838,159/x
  3. Step 3: Cross multiply
    249,150,166x = 533,838,159 × 533,838,159
  4. Step 4: Simplify right side
    249,150,166x = 284,983,180,004,509,280
  5. Step 5: Solve for x
    x = 284,983,180,004,509,280/249,150,166
  6. Step 6: Final answer
    x = 1,143,820,951.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.