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Finding the Third Proportional to 116,458,614 and 249,276,420

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Solution

The third proportional to 116,458,614 and 249,276,420 is: 533,569,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,458,614 : 249,276,420 = 249,276,420 : x
  2. Step 2: Convert to fraction form
    116,458,614/249,276,420 = 249,276,420/x
  3. Step 3: Cross multiply
    116,458,614x = 249,276,420 × 249,276,420
  4. Step 4: Simplify right side
    116,458,614x = 62,138,733,568,016,400
  5. Step 5: Solve for x
    x = 62,138,733,568,016,400/116,458,614
  6. Step 6: Final answer
    x = 533,569,234.89

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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.