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Finding the Third Proportional to 116,650.13 and 249,823.13

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Solution

The third proportional to 116,650.13 and 249,823.13 is: 535,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,650.13 : 249,823.13 = 249,823.13 : x
  2. Step 2: Convert to fraction form
    116,650.13/249,823.13 = 249,823.13/x
  3. Step 3: Cross multiply
    116,650.13x = 249,823.13 × 249,823.13
  4. Step 4: Simplify right side
    116,650.13x = 62,411,593,784.77
  5. Step 5: Solve for x
    x = 62,411,593,784.77/116,650.13
  6. Step 6: Final answer
    x = 535,032.38

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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.