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Finding the Third Proportional to 249,105,823 and 535,179,751

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Solution

The third proportional to 249,105,823 and 535,179,751 is: 1,149,781,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,105,823 : 535,179,751 = 535,179,751 : x
  2. Step 2: Convert to fraction form
    249,105,823/535,179,751 = 535,179,751/x
  3. Step 3: Cross multiply
    249,105,823x = 535,179,751 × 535,179,751
  4. Step 4: Simplify right side
    249,105,823x = 286,417,365,880,422,016
  5. Step 5: Solve for x
    x = 286,417,365,880,422,016/249,105,823
  6. Step 6: Final answer
    x = 1,149,781,897.63

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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.