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Finding the Third Proportional to 45,011.63 and 97,001.38

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Solution

The third proportional to 45,011.63 and 97,001.38 is: 209,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,011.63 : 97,001.38 = 97,001.38 : x
  2. Step 2: Convert to fraction form
    45,011.63/97,001.38 = 97,001.38/x
  3. Step 3: Cross multiply
    45,011.63x = 97,001.38 × 97,001.38
  4. Step 4: Simplify right side
    45,011.63x = 9,409,266,751.89
  5. Step 5: Solve for x
    x = 9,409,266,751.89/45,011.63
  6. Step 6: Final answer
    x = 209,040.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.