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Finding the Third Proportional to 45,829.13 and 97,898.63

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Solution

The third proportional to 45,829.13 and 97,898.63 is: 209,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,829.13 : 97,898.63 = 97,898.63 : x
  2. Step 2: Convert to fraction form
    45,829.13/97,898.63 = 97,898.63/x
  3. Step 3: Cross multiply
    45,829.13x = 97,898.63 × 97,898.63
  4. Step 4: Simplify right side
    45,829.13x = 9,584,140,776.89
  5. Step 5: Solve for x
    x = 9,584,140,776.89/45,829.13
  6. Step 6: Final answer
    x = 209,127.73

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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.